Search: degree-three

Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?

If non-zero polynomial (p(x)) has degree (6) and (q(x)) has degree (3), what will be the degree of (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.

Step 2

Why this answer is correct

The correct answer is C. (9). In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (6+3=9)। गुणन में उच्चतम घातों का गुणन देखें।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?

If the degree of (p(x)) is (5) and the degree of (q(x)) is (2), what is the degree of non-zero (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.

Step 2

Why this answer is correct

The correct answer is C. (7). In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (5+2=7)। गुणन में घातों का योग याद रखें।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?

If the degree of (p(x)) is (4) and the degree of (q(x)) is (3), what will generally be the degree of (p(x)q(x))?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Step 2

Why this answer is correct

The correct answer is B. (7). In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Step 3

Exam Tip

दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (4+3=7)। गुणन में घातों का योग याद रखें।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

एक ग्राफ (x)-अक्ष को तीन बार काटता है। उस बहुपद की न्यूनतम संभावित डिग्री क्या हो सकती है?

A graph cuts the (x)-axis three times. What can be the minimum possible degree of that polynomial?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The number of real zeroes cannot exceed the degree of the polynomial. Three crossings need minimum degree (3).

Step 3

Exam Tip

किसी बहुपद के वास्तविक शून्यकों की संख्या उसकी डिग्री से अधिक नहीं हो सकती। तीन कटान के लिए न्यूनतम डिग्री (3) है।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को तीन अलग बिंदुओं पर काटता है, तो बहुपद की न्यूनतम संभावित घात क्या हो सकती है?

If a polynomial graph cuts the (x)-axis at three distinct points, what can be the minimum possible degree of the polynomial?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (3). For three distinct real zeroes, the degree must be at least (3). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

तीन अलग वास्तविक शून्यकों के लिए घात कम से कम (3) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

एक छात्र $x^2+2x+1$ की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?

A student says the degree of $x^2+2x+1$ is (3) because it has (3) terms. What is the correct degree?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.

Step 2

Why this answer is correct

The correct answer is B. (2). Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.

Step 3

Exam Tip

घात पदों की संख्या से नहीं, सबसे बड़ी घात (2) से तय होती है। यह सामान्य गलती परीक्षा में न करें।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

तीन कुर्सियों और दो मेजों की कीमत (4900) रुपये है। दो कुर्सियों और तीन मेजों की कीमत (5600) रुपये है। एक मेज की कीमत क्या है?

Three chairs and two tables cost (4900) rupees. Two chairs and three tables cost (5600) rupees. What is the price of one table?

Explanation opens after your attempt

Correct Answer

C. (1400) रुपये(1400) rupees

Step 1

Concept

Let chair be (c) and table be (t), so (3c+2t=4900), (2c+3t=5600). Elimination gives (t=1400).

Step 2

Why this answer is correct

The correct answer is C. (1400) रुपये / (1400) rupees. Let chair be (c) and table be (t), so (3c+2t=4900), (2c+3t=5600). Elimination gives (t=1400).

Step 3

Exam Tip

यदि कुर्सी (c) और मेज (t) हो तो (3c+2t=4900), (2c+3t=5600)। विलोपन से (t=1400) मिलता है।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

तीन पेन और दो कॉपियों की कीमत (86) रुपये है। दो पेन और तीन कॉपियों की कीमत (89) रुपये है। एक पेन की कीमत क्या है?

Three pens and two notebooks cost (86) rupees. Two pens and three notebooks cost (89) rupees. What is the price of one pen?

Explanation opens after your attempt

Correct Answer

B. (17) रुपये(17) rupees

Step 1

Concept

Let pen be (p) and notebook be (n), so (3p+2n=86), (2p+3n=89). Elimination gives (p=16) and (n=19).

Step 2

Why this answer is correct

The correct answer is B. (17) रुपये / (17) rupees. Let pen be (p) and notebook be (n), so (3p+2n=86), (2p+3n=89). Elimination gives (p=16) and (n=19).

Step 3

Exam Tip

यदि पेन (p) और कॉपी (n) हो तो (3p+2n=86), (2p+3n=89)। विलोपन से (p=16) और (n=19) मिलता है।

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Question Expert Science World of Living Heredity and Evolution Class 10 Level 21

द्विलक्षणी संकरण की दूसरी पीढ़ी में नौ अनुपात तीन अनुपात तीन अनुपात एक का महत्व क्या है?

What is the significance of the nine to three to three to one ratio in the second generation of a dihybrid cross?

Explanation opens after your attempt

Correct Answer

C. यह स्वतंत्र वर्गीकरण को दर्शाता हैIt shows independent assortment

Step 1

Concept

A dihybrid cross studies two different traits together.

Step 2

Why this answer is correct

New combinations appear in the second generation.

Step 3

Exam Tip

The nine to three to three to one ratio indicates independent assortment. चरण 1: द्विलक्षणी संकरण में दो अलग लक्षणों को साथ देखा जाता है। चरण 2: दूसरी पीढ़ी में नए संयोजन बनते हैं। चरण 3: नौ अनुपात तीन अनुपात तीन अनुपात एक स्वतंत्र वर्गीकरण का संकेत है।

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Question Hard Science World of Living Heredity and Evolution Class 10 Level 20

द्विलक्षणी संकरण में नौ अनुपात तीन अनुपात तीन अनुपात एक परिणाम किस विचार को मजबूत करता है?

In a dihybrid cross what idea is supported by the nine to three to three to one result?

Explanation opens after your attempt

Correct Answer

A. दो लक्षणों की सूचना स्वतंत्र रूप से व्यवस्थित हो सकती हैInformation for two traits can assort independently

Step 1

Concept

A dihybrid cross studies two traits together.

Step 2

Why this answer is correct

New combinations appear in the second generation.

Step 3

Exam Tip

This supports the idea of independent assortment. चरण 1: द्विलक्षणी संकरण में दो लक्षण साथ देखे जाते हैं। चरण 2: दूसरी पीढ़ी में नए संयोजन दिखाई देते हैं। चरण 3: इससे स्वतंत्र वर्गीकरण का विचार समझ आता है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(k-3)x^-5+2x^-3-x+9) की घात (3) है, तो (k) क्या है?

If (p(x)=(k-3)x^-5+2x^-3-x+9) has degree (3), what is (k)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

For degree (3), the coefficient of $x^5$ must be (0). Thus (k-3=0) and (k=3).

Step 2

Why this answer is correct

The correct answer is A. (3). For degree (3), the coefficient of $x^5$ must be (0). Thus (k-3=0) and (k=3).

Step 3

Exam Tip

घात (3) होने के लिए $x^5$ का गुणांक (0) होना चाहिए। इसलिए (k-3=0) और (k=3)।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) की घात (4) है, तो (m) क्या है?

If the degree of (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) is (4), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. For (m=0), (m^-4=-4).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. For (m=0), (m^-4=-4).

Step 3

Exam Tip

घात (4) के लिए $x^5$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (m=0) पर (m^-4=-4) है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-5+bx^-4+cx^-3+d) में (a=0), $b\ne0$ और $c\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0), $b\ne0$, and $c\ne0$ in (p(x)=ax^-5+bx^-4+cx^-3+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Since (a=0), the $x^5$-term vanishes, and since $b\ne0$, the $x^4$-term remains. So the degree is (4).

Step 2

Why this answer is correct

The correct answer is B. (4). Since (a=0), the $x^5$-term vanishes, and since $b\ne0$, the $x^4$-term remains. So the degree is (4).

Step 3

Exam Tip

(a=0) से $x^5$ पद हट जाता है और $b\ne0$ से $x^4$ पद बचता है। इसलिए घात (4) है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

(p(x)=6x^-5-4x^-2+1) और (q(x)=-6x^-5+3x^-4+x-9) के योग की घात क्या है?

What is the degree of the sum of (p(x)=6x^-5-4x^-2+1) and (q(x)=-6x^-5+3x^-4+x-9)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The $x^5$-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.

Step 2

Why this answer is correct

The correct answer is C. (4). The $x^5$-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.

Step 3

Exam Tip

$x^5$ के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) की घात (4) है, तो (a) क्या होगा?

If the degree of (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) is (4), what will (a) be?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

For degree (4), the coefficient of $x^6$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (a=1).

Step 2

Why this answer is correct

The correct answer is B. (1). For degree (4), the coefficient of $x^6$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (a=1).

Step 3

Exam Tip

घात (4) के लिए $x^6$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (a=1) पर दोनों शर्तें पूरी होती हैं।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किस मान के लिए (p(x)=(m^-2)x^-4+3x^-2+x+1) की घात (2) से अधिक नहीं होगी?

For which value will (p(x)=(m^-2)x^-4+3x^-2+x+1) have degree not more than (2)?

Explanation opens after your attempt

Correct Answer

A. (m=2)

Step 1

Concept

To make the degree not more than (2), the coefficient of $x^4$ must be (0), so (m^-2=0). Degree reduces only when the highest term vanishes.

Step 2

Why this answer is correct

The correct answer is A. (m=2). To make the degree not more than (2), the coefficient of $x^4$ must be (0), so (m^-2=0). Degree reduces only when the highest term vanishes.

Step 3

Exam Tip

घात (2) से अधिक न हो इसके लिए $x^4$ का गुणांक (0) चाहिए, अतः (m^-2=0)। उच्चतम पद हटाकर ही घात घटती है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x^-4-5x^-2+4) है, तो (p(x)) का घात कितना है?

If (p(x)=x^-4-5x^-2+4), what is the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

The highest power is $x^4$, so the degree is (4). Terms with zero coefficients do not affect the degree.

Step 2

Why this answer is correct

The correct answer is A. (4). The highest power is $x^4$, so the degree is (4). Terms with zero coefficients do not affect the degree.

Step 3

Exam Tip

सबसे बड़ी घात $x^4$ है, इसलिए घात (4) है। शून्य गुणांक वाले पदों को घात तय करने में नहीं गिनते।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=mx^-4+(m+2)x^-3+5x+1) की घात (3) है, तो (m) क्या है?

If the degree of (p(x)=mx^-4+(m+2)x^-3+5x+1) is (3), what is (m)?

Explanation opens after your attempt

Correct Answer

B. (0)

Step 1

Concept

For degree (3), the coefficient of $x^4$ must be (0) and the coefficient of $x^3$ must be non-zero. For (m=0), (m+2=2).

Step 2

Why this answer is correct

The correct answer is B. (0). For degree (3), the coefficient of $x^4$ must be (0) and the coefficient of $x^3$ must be non-zero. For (m=0), (m+2=2).

Step 3

Exam Tip

घात (3) के लिए $x^4$ का गुणांक (0) चाहिए और $x^3$ का गुणांक अशून्य चाहिए। (m=0) पर (m+2=2) है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=ax^-4+bx^-3+cx^-2+d) में (a=0), (b=0) और $c\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0), (b=0), and $c\ne0$ in (p(x)=ax^-4+bx^-3+cx^-2+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The $x^4$- and $x^3$-terms vanish, but $c\ne0$ keeps the $x^2$-term. So the degree is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). The $x^4$- and $x^3$-terms vanish, but $c\ne0$ keeps the $x^2$-term. So the degree is (2).

Step 3

Exam Tip

$x^4$ और $x^3$ के पद हट जाते हैं, लेकिन $c\ne0$ से $x^2$ पद बचता है। इसलिए घात (2) है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=5x^-4-2x^-2+1) और (q(x)=-5x^-4+3x^-3+x-6) के योग की घात क्या है?

What is the degree of the sum of (p(x)=5x^-4-2x^-2+1) and (q(x)=-5x^-4+3x^-3+x-6)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 2

Why this answer is correct

The correct answer is C. (3). The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 3

Exam Tip

$x^4$ के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) की घात (4) है, तो (m) क्या होगा?

If the degree of (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) is (4), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (-2)

Step 1

Concept

For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (m=-2).

Step 2

Why this answer is correct

The correct answer is A. (-2). For degree (4), the coefficient of $x^5$ must be (0) and the coefficient of $x^4$ must be non-zero. Both conditions hold for (m=-2).

Step 3

Exam Tip

घात (4) के लिए $x^5$ का गुणांक (0) और $x^4$ का गुणांक अशून्य चाहिए। (m=-2) पर दोनों शर्तें पूरी होती हैं।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किस बहुपद की घात (4) है?

Which polynomial has degree (4)?

Explanation opens after your attempt

Correct Answer

A. $7x^4+0x^5-3x+1$

Step 1

Concept

The term $0x^5$ does not affect degree because its coefficient is (0). The highest non-zero power is (4).

Step 2

Why this answer is correct

The correct answer is A. $7x^4+0x^5-3x+1$. The term $0x^5$ does not affect degree because its coefficient is (0). The highest non-zero power is (4).

Step 3

Exam Tip

$0x^5$ पद घात नहीं बढ़ाता क्योंकि उसका गुणांक (0) है। सबसे बड़ा शून्येतर घात (4) है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=mx^-3+(m^-1)x^-2+2x+1) की घात (2) है, तो (m) क्या है?

If the degree of (p(x)=mx^-3+(m^-1)x^-2+2x+1) is (2), what is (m)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (2), the coefficient of $x^3$ must be (0) and the coefficient of $x^2$ must be non-zero. Both conditions hold when (m=0).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (2), the coefficient of $x^3$ must be (0) and the coefficient of $x^2$ must be non-zero. Both conditions hold when (m=0).

Step 3

Exam Tip

घात (2) के लिए $x^3$ का गुणांक (0) चाहिए और $x^2$ का गुणांक अशून्य चाहिए। (m=0) पर ये दोनों शर्तें पूरी होती हैं।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-3+bx^-2+cx+d) में (a=0) और $b\ne0$, तो (p(x)) की घात क्या होगी?

If (a=0) and $b\ne0$ in (p(x)=ax^-3+bx^-2+cx+d), what will be the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

Since (a=0), the $x^3$-term vanishes, and since $b\ne0$, the $x^2$-term remains. So the degree is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). Since (a=0), the $x^3$-term vanishes, and since $b\ne0$, the $x^2$-term remains. So the degree is (2).

Step 3

Exam Tip

(a=0) होने से $x^3$ पद हट जाता है और $b\ne0$ होने से $x^2$ पद बचता है। इसलिए घात (2) है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

(p(x)=4x^-4-3x^-2+2) और (q(x)=-4x^-4+5x^-3+x-8) के योग की घात क्या है?

What is the degree of the sum of (p(x)=4x^-4-3x^-2+2) and (q(x)=-4x^-4+5x^-3+x-8)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 2

Why this answer is correct

The correct answer is C. (3). The $x^4$-terms cancel and the highest remaining power is (3). Recheck the degree after addition.

Step 3

Exam Tip

$x^4$ के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=(a-5)x^-5+2x^-3-7x+4) की घात (3) है, तो (a) क्या होगा?

If the degree of (p(x)=(a-5)x^-5+2x^-3-7x+4) is (3), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

For the degree to be (3), the coefficient of $x^5$ must be (0), so (a-5=0). First make the highest-degree term vanish.

Step 2

Why this answer is correct

The correct answer is C. (5). For the degree to be (3), the coefficient of $x^5$ must be (0), so (a-5=0). First make the highest-degree term vanish.

Step 3

Exam Tip

घात (3) होने के लिए $x^5$ का गुणांक (0) होना चाहिए, इसलिए (a-5=0)। उच्चतम घात वाले पद को पहले शून्य करें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=(k-4)x^-4+3x^-2-5x+2) की घात (2) है, तो (k) का मान क्या होगा?

If the degree of (p(x)=(k-4)x^-4+3x^-2-5x+2) is (2), what will be the value of (k)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For the degree to be (2), the coefficient of $x^4$ must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.

Step 2

Why this answer is correct

The correct answer is C. (4). For the degree to be (2), the coefficient of $x^4$ must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.

Step 3

Exam Tip

घात (2) होने के लिए $x^4$ का गुणांक (0) होना चाहिए, इसलिए (k-4=0) और (k=4)। सबसे बड़ी घात वाले पद का गुणांक पहले जांचें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

किसी रैखिक बहुपद (mx+n) में $m\ne0$ हो तो उसकी घात क्या है?

If $m\ne0$ in a linear polynomial (mx+n), what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $m\ne0$, the term (mx) exists and the highest power is (1). So the degree is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). When $m\ne0$, the term (mx) exists and the highest power is (1). So the degree is (1).

Step 3

Exam Tip

$m\ne0$ होने पर (mx) पद मौजूद रहता है और सबसे बड़ी घात (1) होती है। इसलिए घात (1) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=0x^-5+7x^-3-2x+1) की घात क्या है?

What is the degree of (p(x)=0x^-5+7x^-3-2x+1)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

The coefficient of $0x^5$ is (0), so that term is not counted. The highest effective power is (3).

Step 2

Why this answer is correct

The correct answer is B. (3). The coefficient of $0x^5$ is (0), so that term is not counted. The highest effective power is (3).

Step 3

Exam Tip

$0x^5$ का गुणांक (0) है इसलिए वह पद नहीं गिना जाएगा। सबसे बड़ी प्रभावी घात (3) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

अशून्य अचर बहुपद (p(x)=-18) की घात क्या है?

What is the degree of the non-zero constant polynomial (p(x)=-18)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).

Step 3

Exam Tip

अशून्य अचर बहुपद की घात (0) होती है। अचर संख्या का अर्थ घात (0) से जुड़ा है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (p(x)=11x^-6-4x^-3+x-9) की घात क्या है?

What is the degree of the polynomial (p(x)=11x^-6-4x^-3+x-9)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 2

Why this answer is correct

The correct answer is C. (6). The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 3

Exam Tip

सबसे बड़ी घात (6) है इसलिए घात (6) होगी। गुणांक नहीं बल्कि चर की सबसे ऊंची घात देखें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प $2x^3-5x^2+x-4$ की घात और नियत पद को सही बताता है?

Which option correctly gives the degree and constant term of $2x^3-5x^2+x-4$?

Explanation opens after your attempt

Correct Answer

A. घात (3), नियत पद (-4)Degree (3), constant term (-4)

Step 1

Concept

The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 2

Why this answer is correct

The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 3

Exam Tip

सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$x^2+1$, $x^3+x$, (5x-2) में सबसे कम घात वाला बहुपद कौन सा है?

Among $x^2+1$, $x^3+x$, and (5x-2), which polynomial has the least degree?

Explanation opens after your attempt

Correct Answer

C. (5x-2)

Step 1

Concept

Their degrees are (2), (3), and (1) respectively. The least degree is (1).

Step 2

Why this answer is correct

The correct answer is C. (5x-2). Their degrees are (2), (3), and (1) respectively. The least degree is (1).

Step 3

Exam Tip

इनकी घातें क्रमशः (2), (3) और (1) हैं। सबसे कम घात (1) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि किसी गैर-शून्य नियत बहुपद की घात पूछी जाए, तो सही उत्तर क्या होगा?

If the degree of a non-zero constant polynomial is asked, what will be the correct answer?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.

Step 3

Exam Tip

गैर-शून्य नियत बहुपद की घात (0) होती है। इसे शून्य बहुपद से अलग रखें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

किस मान के लिए (p(x)=(a-2)x^-3+4x^-2+1) की घात (2) हो जाएगी?

For which value will (p(x)=(a-2)x^-3+4x^-2+1) have degree (2)?

Explanation opens after your attempt

Correct Answer

C. (a=2)

Step 1

Concept

For degree (2), the coefficient of $x^3$ must be (0). From (a-2=0), we get (a=2).

Step 2

Why this answer is correct

The correct answer is C. (a=2). For degree (2), the coefficient of $x^3$ must be (0). From (a-2=0), we get (a=2).

Step 3

Exam Tip

घात (2) के लिए $x^3$ का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-2+3x+5) की घात (1) है, तो (a) का मान क्या होगा?

If (p(x)=ax^-2+3x+5) has degree (1), what will be the value of (a)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

For degree (1), the coefficient of $x^2$ must be (0). Therefore (a=0).

Step 2

Why this answer is correct

The correct answer is A. (0). For degree (1), the coefficient of $x^2$ must be (0). Therefore (a=0).

Step 3

Exam Tip

घात (1) होने के लिए $x^2$ का गुणांक (0) होना चाहिए। इसलिए (a=0) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=(m^-2)x^-3+4x^-2-7) की घात (2) है, तो (m) का मान क्या होगा?

If the degree of (p(x)=(m^-2)x^-3+4x^-2-7) is (2), what will be the value of (m)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

For the degree to be (2), the coefficient of $x^3$ must be (0), so (m^-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 2

Why this answer is correct

The correct answer is B. (2). For the degree to be (2), the coefficient of $x^3$ must be (0), so (m^-2=0) and (m=2). In exams, check the coefficient of the highest power first.

Step 3

Exam Tip

घात (2) होने के लिए $x^3$ का गुणांक (0) होना चाहिए, इसलिए (m^-2=0) और (m=2)। परीक्षा में सबसे ऊंची घात के गुणांक को पहले देखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?

Which of the following is a polynomial in (x) with degree (4)?

Explanation opens after your attempt

Correct Answer

A. $x^4-2x+7$

Step 1

Concept

In $x^4-2x+7$, the highest power is (4). To identify degree, check the greatest power.

Step 2

Why this answer is correct

The correct answer is A. $x^4-2x+7$. In $x^4-2x+7$, the highest power is (4). To identify degree, check the greatest power.

Step 3

Exam Tip

$x^4-2x+7$ में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किसी रैखिक बहुपद (ax+b) में $a\ne0$ हो तो उसकी घात क्या है?

If $a\ne0$ in a linear polynomial (ax+b), what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $a\ne0$ in (ax+b), the highest power of (x) is (1). So the degree is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). When $a\ne0$ in (ax+b), the highest power of (x) is (1). So the degree is (1).

Step 3

Exam Tip

(ax+b) में $a\ne0$ होने पर (x) की सबसे बड़ी घात (1) है। इसलिए घात (1) होगी।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

$3x^4+0x^3-2x+5$ की घात क्या है?

What is the degree of $3x^4+0x^3-2x+5$?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The term $0x^3$ is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 2

Why this answer is correct

The correct answer is C. (4). The term $0x^3$ is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.

Step 3

Exam Tip

$0x^3$ पद प्रभावी नहीं है और सबसे बड़ी अशून्य घात (4) है। शून्य गुणांक वाले पद को नजरअंदाज करें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

अशून्य अचर बहुपद (p(x)=12) की घात क्या होती है?

What is the degree of the non-zero constant polynomial (p(x)=12)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.

Step 3

Exam Tip

अशून्य अचर बहुपद की घात (0) होती है। शून्य बहुपद से इसे अलग रखें।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=4x^-5-3x^-2+9) की घात क्या है?

What is the degree of the polynomial (p(x)=4x^-5-3x^-2+9)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Always check the highest exponent.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। हमेशा सबसे ऊंची घात देखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$x^5+1$ की घात क्या है?

What is the degree of $x^5+1$?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। नियत पद घात को नहीं बढ़ाता।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद की घात (2) है?

Which polynomial has degree (2)?

Explanation opens after your attempt

Correct Answer

A. $x^2+4x$

Step 1

Concept

The highest power in $x^2+4x$ is (2). Therefore its degree is (2).

Step 2

Why this answer is correct

The correct answer is A. $x^2+4x$. The highest power in $x^2+4x$ is (2). Therefore its degree is (2).

Step 3

Exam Tip

$x^2+4x$ में सबसे बड़ी घात (2) है। इसलिए इसकी घात (2) है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद की घात (1) है?

Which polynomial has degree (1)?

Explanation opens after your attempt

Correct Answer

B. (9x-3)

Step 1

Concept

In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).

Step 2

Why this answer is correct

The correct answer is B. (9x-3). In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).

Step 3

Exam Tip

(9x-3) में (x) की सबसे बड़ी घात (1) है। इसलिए यह घात (1) का बहुपद है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

शून्य बहुपद (0) की घात के बारे में सही कथन कौन सा है?

Which statement about the degree of the zero polynomial (0) is correct?

Explanation opens after your attempt

Correct Answer

C. घात परिभाषित नहीं हैDegree is not defined

Step 1

Concept

The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is C. घात परिभाषित नहीं है / Degree is not defined. The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। इसे गैर-शून्य नियत बहुपद से अलग याद रखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

$6x^4-2x^2+x-8$ की घात क्या है?

What is the degree of $6x^4-2x^2+x-8$?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (4) है इसलिए घात (4) है। पदों की संख्या नहीं, सबसे बड़ी घात महत्वपूर्ण है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद $7x^3-4x+9$ की घात क्या है?

What is the degree of the polynomial $7x^3-4x+9$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest power is (3), so the degree is (3). Always check the highest power of the variable.

Step 2

Why this answer is correct

The correct answer is C. (3). The highest power is (3), so the degree is (3). Always check the highest power of the variable.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। हमेशा चर की सबसे बड़ी घात देखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (3) है, तो उसे क्या कहते हैं?

If a polynomial has degree (3), what is it called?

Explanation opens after your attempt

Correct Answer

A. घन बहुपदCubic polynomial

Step 1

Concept

A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.

Step 2

Why this answer is correct

The correct answer is A. घन बहुपद / Cubic polynomial. A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.

Step 3

Exam Tip

घात (3) वाला बहुपद घन बहुपद कहलाता है। सबसे बड़ी घात ही नाम तय करती है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (2) है, तो उसे क्या कहते हैं?

If a polynomial has degree (2), what is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Step 1

Concept

A degree (2) polynomial is called quadratic. A non-zero $x^2$-term must be present.

Step 2

Why this answer is correct

The correct answer is B. द्विघात बहुपद / Quadratic polynomial. A degree (2) polynomial is called quadratic. A non-zero $x^2$-term must be present.

Step 3

Exam Tip

घात (2) वाला बहुपद द्विघात कहलाता है। $x^2$ का अशून्य पद होना जरूरी है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि किसी बहुपद की घात (1) है, तो उसे क्या कहते हैं?

If a polynomial has degree (1), what is it called?

Explanation opens after your attempt

Correct Answer

B. रैखिक बहुपदLinear polynomial

Step 1

Concept

A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.

Step 2

Why this answer is correct

The correct answer is B. रैखिक बहुपद / Linear polynomial. A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.

Step 3

Exam Tip

घात (1) वाले बहुपद को रैखिक बहुपद कहते हैं। नाम हमेशा घात से जोड़कर याद करें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=ax+b) में यदि $a\ne0$ है, तो इसकी घात क्या होती है?

In (p(x)=ax+b), if $a\ne0$, what is its degree?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

When $a\ne0$, the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (1). When $a\ne0$, the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.

Step 3

Exam Tip

$a\ne0$ होने पर (x) वाला पद मौजूद है, इसलिए घात (1) है। यही रैखिक बहुपद का रूप है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद $11x^5-3x^2+8$ की घात क्या है?

What is the degree of $11x^5-3x^2+8$?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए घात (5) होगी। पदों की संख्या नहीं बल्कि सबसे बड़ी घात देखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (5) की घात क्या है?

What is the degree of the polynomial (5)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). Remember $5=5x^0$ may be considered.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). Remember $5=5x^0$ may be considered.

Step 3

Exam Tip

अशून्य नियत बहुपद की घात (0) होती है। याद रखें $5=5x^0$ माना जा सकता है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद $7x^3-2x+9$ की घात क्या है?

What is the degree of the polynomial $7x^3-2x+9$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest power is (3), so the degree is (3). In exams identify the greatest exponent.

Step 2

Why this answer is correct

The correct answer is C. (3). The highest power is (3), so the degree is (3). In exams identify the greatest exponent.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। परीक्षा में सबसे बड़े घातांक को पहचानें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=ax+b) और $a\neq0$, तो (p(x)) की घात क्या है?

If (p(x)=ax+b) and $a\neq0$, what is the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

Since $a\neq0$, the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). Since $a\neq0$, the (x)-term is present. Therefore the degree of the polynomial is (1).

Step 3

Exam Tip

$a\neq0$ होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद $4x^3-2x^3+x+5$ को सरल करने पर घात क्या होगी?

After simplifying $4x^3-2x^3+x+5$, what is its degree?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Combining like terms gives $2x^3+x+5$. The highest power is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). Combining like terms gives $2x^3+x+5$. The highest power is (3).

Step 3

Exam Tip

समान पद मिलाकर $2x^3+x+5$ मिलता है। सबसे बड़ी घात (3) है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद $3x^3+0x^2-2x+5$ की घात क्या है?

What is the degree of $3x^3+0x^2-2x+5$?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

The highest non-zero power term is $3x^3$. So the degree is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). The highest non-zero power term is $3x^3$. So the degree is (3).

Step 3

Exam Tip

सबसे बड़ी शून्य से भिन्न घात वाला पद $3x^3$ है। इसलिए घात (3) है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

शून्य बहुपद (p(x)=0) की घात के बारे में सही कथन कौन-सा है?

Which statement is correct about the degree of the zero polynomial (p(x)=0)?

Explanation opens after your attempt

Correct Answer

C. घात परिभाषित नहीं हैDegree is undefined

Step 1

Concept

The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is C. घात परिभाषित नहीं है / Degree is undefined. The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। परीक्षा में इसे स्थिर शून्य से भिन्न बहुपद से अलग रखें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

स्थिर बहुपद (p(x)=9) की घात क्या है?

What is the degree of the constant polynomial (p(x)=9)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

A non-zero constant polynomial has degree (0). The number (9) may be written as $9x^0$.

Step 2

Why this answer is correct

The correct answer is A. (0). A non-zero constant polynomial has degree (0). The number (9) may be written as $9x^0$.

Step 3

Exam Tip

शून्य से भिन्न स्थिर बहुपद की घात (0) होती है। (9) को $9x^0$ माना जा सकता है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

बहुपद (p(x)=4x^-3-2x+9) की घात क्या है?

What is the degree of the polynomial (p(x)=4x^-3-2x+9)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.

Step 2

Why this answer is correct

The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.

Step 3

Exam Tip

सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण $x^2+1=0$ की घात क्या है?

What is the degree of $x^2+1=0$?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The highest power of (x) is (2). The constant term does not change the degree.

Step 2

Why this answer is correct

The correct answer is B. (2). The highest power of (x) is (2). The constant term does not change the degree.

Step 3

Exam Tip

इसमें (x) की सबसे बड़ी घात (2) है। स्थिर पद घात को नहीं बदलता।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण $7x^2-4x+9=0$ की घात क्या है?

What is the degree of the equation $7x^2-4x+9=0$?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.

Step 2

Why this answer is correct

The correct answer is B. (2). The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.

Step 3

Exam Tip

इस समीकरण में (x) की सबसे बड़ी घात (2) है। घात हमेशा चर की सबसे बड़ी शक्ति से तय होती है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

$6x^2-5x+2=0$ की घात क्या है?

What is the degree of $6x^2-5x+2=0$?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The highest power is (2). Therefore it is a quadratic equation.

Step 2

Why this answer is correct

The correct answer is C. (2). The highest power is (2). Therefore it is a quadratic equation.

Step 3

Exam Tip

सबसे बड़ी घात (2) है। इसलिए यह द्विघात समीकरण है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

$5x^2+2x-1=0$ की घात क्या है?

What is the degree of $5x^2+2x-1=0$?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The highest power is (2). Therefore the equation is quadratic.

Step 2

Why this answer is correct

The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.

Step 3

Exam Tip

सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि किसी समीकरण की घात (2) है और वह (x) में है तो उसे क्या कहते हैं?

If an equation in (x) has degree (2), what is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात समीकरणQuadratic equation

Step 1

Concept

An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 2

Why this answer is correct

The correct answer is B. द्विघात समीकरण / Quadratic equation. An equation of degree (2) is called a quadratic equation. Remember that quadratic means degree (2).

Step 3

Exam Tip

घात (2) वाले समीकरण को द्विघात समीकरण कहते हैं। नाम याद रखने के लिए द्वि का अर्थ (2) समझें।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि कोई बहुपद (x)-अक्ष को छह अलग बिंदुओं पर काटता है तो न्यूनतम संभावित घात क्या होगी?

If a polynomial cuts the (x)-axis at six distinct points, what is the minimum possible degree?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (6). For six distinct real zeroes, the degree must be at least (6). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

छह अलग वास्तविक शून्यकों के लिए घात कम से कम (6) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 6

यदि घन की तीन सतहों पर अलग अलग मान लगाए जाएं तो क्या प्रभाव बनेगा?

If different values are applied on three faces of a cube what effect is created?

Explanation opens after your attempt

Correct Answer

D. त्रि आयामी प्रभावThree-dimensional effect

Step 1

Concept

Different values show different faces of a cube. Exam tip: remember light side and dark side in cube.

Step 2

Why this answer is correct

The correct answer is D. त्रि आयामी प्रभाव / Three-dimensional effect. Different values show different faces of a cube. Exam tip: remember light side and dark side in cube.

Step 3

Exam Tip

अलग मान घन की अलग सतहें दिखाते हैं। परीक्षा में घन में उजले और गहरे भाग याद रखें।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 5

तीन भुजाओं वाला आकार कौन सा है?

Which shape has three sides?

Explanation opens after your attempt

Correct Answer

A. त्रिभुजTriangle

Step 1

Concept

A triangle has three sides. Exam tip: connect three sides with triangle.

Step 2

Why this answer is correct

The correct answer is A. त्रिभुज / Triangle. A triangle has three sides. Exam tip: connect three sides with triangle.

Step 3

Exam Tip

त्रिभुज में तीन भुजाएं होती हैं। परीक्षा में three sides को triangle से जोड़ें।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 2

किस विकल्प में केवल त्रि आयामी रूप हैं?

Which option has only three-dimensional forms?

Explanation opens after your attempt

Correct Answer

A. घन और गोलाCube and sphere

Step 1

Concept

Cube and sphere have depth so they are forms. Exam tip: call a three-dimensional object a form.

Step 2

Why this answer is correct

The correct answer is A. घन और गोला / Cube and sphere. Cube and sphere have depth so they are forms. Exam tip: call a three-dimensional object a form.

Step 3

Exam Tip

घन और गोला में गहराई होती है इसलिए वे रूप हैं। परीक्षा में त्रि आयामी वस्तु को रूप कहें।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 1

त्रि आयामी वस्तु को कला में किस तत्व से समझा जाता है?

Which element in art is used to understand a three-dimensional object?

Explanation opens after your attempt

Correct Answer

D. रूपForm

Step 1

Concept

Form has the sense of length width and depth. Exam tip: use form for a three-dimensional object.

Step 2

Why this answer is correct

The correct answer is D. रूप / Form. Form has the sense of length width and depth. Exam tip: use form for a three-dimensional object.

Step 3

Exam Tip

रूप में लंबाई चौड़ाई और गहराई का भाव होता है। परीक्षा में त्रि आयामी वस्तु के लिए रूप लिखें।

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Question Hard General Knowledge World History Important Historical Events Class 10 Level 74

सन यात सेन की तीन जन सिद्धांतों का मूल लक्ष्य क्या था?

What was the basic aim of Sun Yat-sen's Three Principles of the People?

Explanation opens after your attempt

Correct Answer

A. राष्ट्रवाद, लोकतंत्र और जनकल्याणNationalism, democracy and people's welfare

Step 1

Concept

The Three Principles were a plan for modern political reconstruction of China. For exams, connect them with Chinese nationalism.

Step 2

Why this answer is correct

The correct answer is A. राष्ट्रवाद, लोकतंत्र और जनकल्याण / Nationalism, democracy and people's welfare. The Three Principles were a plan for modern political reconstruction of China. For exams, connect them with Chinese nationalism.

Step 3

Exam Tip

तीन जन सिद्धांत आधुनिक चीन के राजनीतिक पुनर्निर्माण की योजना थे। परीक्षा में इन्हें चीनी राष्ट्रवाद से जोड़ें।

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Question Expert General Knowledge World History Famous World Leaders Class 10 Level 66

सुन यात सेन के तीन लोक सिद्धांतों में जनजीवन का सिद्धांत किस चिंता से जुड़ा था?

In Sun Yat Sen's Three Principles what concern was the principle of people's livelihood linked with?

Explanation opens after your attempt

Correct Answer

A. सामाजिक आर्थिक कल्याण और भूमि संबंधी प्रश्नSocial economic welfare and land questions

Step 1

Concept

The livelihood principle shows concern for economic welfare beyond politics. For exams remember all three principles separately.

Step 2

Why this answer is correct

The correct answer is A. सामाजिक आर्थिक कल्याण और भूमि संबंधी प्रश्न / Social economic welfare and land questions. The livelihood principle shows concern for economic welfare beyond politics. For exams remember all three principles separately.

Step 3

Exam Tip

जनजीवन सिद्धांत केवल राजनीति नहीं बल्कि आर्थिक कल्याण की चिंता दिखाता है। परीक्षा में तीनों सिद्धांत अलग याद रखें।

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Question Medium General Knowledge World History Famous World Leaders Class 10 Level 65

सुन यात सेन के तीन लोक सिद्धांत किस बात पर आधारित थे?

Sun Yat Sen's Three Principles of the People were based on what?

Explanation opens after your attempt

Correct Answer

B. राष्ट्रवाद लोकतंत्र और जनजीवनNationalism democracy and people's livelihood

Step 1

Concept

The Three Principles were a base of Chinese republican ideas. For exams connect Sun Yat Sen with the Xinhai Revolution.

Step 2

Why this answer is correct

The correct answer is B. राष्ट्रवाद लोकतंत्र और जनजीवन / Nationalism democracy and people's livelihood. The Three Principles were a base of Chinese republican ideas. For exams connect Sun Yat Sen with the Xinhai Revolution.

Step 3

Exam Tip

तीन लोक सिद्धांत चीनी गणतंत्रवादी विचारों का आधार थे। परीक्षा में सुन यात सेन को शिनहाई क्रांति से जोड़ें।

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Question Medium General Knowledge World History Revolutions of the World Class 10 Level 55

सन यात सेन के तीन जन सिद्धांतों में जनजीवन का विचार किससे जुड़ा था?

In Sun Yat-sen's Three Principles what was the idea of people's livelihood related to?

Explanation opens after your attempt

Correct Answer

D. लोगों की आर्थिक भलाईEconomic welfare of the people

Step 1

Concept

The livelihood principle was linked with people's economic condition. For exams remember the three principles as nationalism democracy and livelihood.

Step 2

Why this answer is correct

The correct answer is D. लोगों की आर्थिक भलाई / Economic welfare of the people. The livelihood principle was linked with people's economic condition. For exams remember the three principles as nationalism democracy and livelihood.

Step 3

Exam Tip

जनजीवन का सिद्धांत जनता की आर्थिक स्थिति से जुड़ा था। परीक्षा में तीन सिद्धांतों को राष्ट्रवाद लोकतंत्र और जनजीवन के रूप में याद रखें।

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Question Easy General Knowledge World History Revolutions of the World Class 10 Level 56

तीन जन सिद्धांत किस नेता से जुड़े हैं?

The Three Principles of the People are associated with which leader?

Explanation opens after your attempt

Correct Answer

D. सन यात सेनSun Yat-sen

Step 1

Concept

The Three Principles of the People were associated with Sun Yat-sen. For exams connect nationalism democracy and people's livelihood with him.

Step 2

Why this answer is correct

The correct answer is D. सन यात सेन / Sun Yat-sen. The Three Principles of the People were associated with Sun Yat-sen. For exams connect nationalism democracy and people's livelihood with him.

Step 3

Exam Tip

तीन जन सिद्धांत सन यात सेन से जुड़े थे। परीक्षा में राष्ट्रवाद लोकतंत्र और जनजीवन को उनसे जोड़ें।

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Question Medium General Knowledge Indian History Ancient Indian History Class 10 Level 7

बौद्ध धर्म के त्रिरत्न में कौन सा समूह सही है?

Which group is correct among the Three Jewels of Buddhism?

Explanation opens after your attempt

Correct Answer

B. बुद्ध धम्म संघBuddha Dhamma Sangha

Step 1

Concept

The Buddhist Three Jewels are Buddha, Dhamma, and Sangha. For exams, remember its difference from the Jain Three Jewels.

Step 2

Why this answer is correct

The correct answer is B. बुद्ध धम्म संघ / Buddha Dhamma Sangha. The Buddhist Three Jewels are Buddha, Dhamma, and Sangha. For exams, remember its difference from the Jain Three Jewels.

Step 3

Exam Tip

बौद्ध त्रिरत्न बुद्ध धम्म और संघ हैं। परीक्षा में जैन त्रिरत्न से इसका अंतर याद रखें।

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Question Medium General Knowledge Indian History Ancient Indian History Class 10 Level 2

जैन धर्म में त्रिरत्न का सही समूह कौन सा है?

Which is the correct group of the Three Jewels in Jainism?

Explanation opens after your attempt

Correct Answer

B. सम्यक दर्शन, सम्यक ज्ञान, सम्यक चरित्रRight faith, right knowledge, right conduct

Step 1

Concept

The Three Jewels of Jainism are right faith, right knowledge, and right conduct. For exams, connect them with the path of liberation.

Step 2

Why this answer is correct

The correct answer is B. सम्यक दर्शन, सम्यक ज्ञान, सम्यक चरित्र / Right faith, right knowledge, right conduct. The Three Jewels of Jainism are right faith, right knowledge, and right conduct. For exams, connect them with the path of liberation.

Step 3

Exam Tip

जैन धर्म के त्रिरत्न सम्यक दर्शन, सम्यक ज्ञान और सम्यक चरित्र हैं। परीक्षा में इन्हें मुक्ति मार्ग से जोड़ें।

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Question Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

तीन अंकों वाली (19) से विभाज्य सभी संख्याओं का योग कितना होगा?

What is the sum of all three-digit numbers divisible by (19)?

Explanation opens after your attempt

Correct Answer

D. (25897)

Step 1

Concept

The numbers are $114,133,\ldots,988$, and there are (47) terms. Exam tip: find the first and last three-digit multiples.

Step 2

Why this answer is correct

The correct answer is D. (25897). The numbers are $114,133,\ldots,988$, and there are (47) terms. Exam tip: find the first and last three-digit multiples.

Step 3

Exam Tip

संख्याएँ $114,133,\ldots,988$ हैं और कुल (47) पद हैं। परीक्षा में पहला और अंतिम तीन अंकीय गुणज निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

तीन अंकों वाली (17) से विभाज्य सभी संख्याओं का योग कितना होगा?

What is the sum of all three-digit numbers divisible by (17)?

Explanation opens after your attempt

Correct Answer

C. (31518)

Step 1

Concept

The numbers are $102,119,\ldots,986$, and there are (53) terms. Exam tip: find the first and last three-digit multiples.

Step 2

Why this answer is correct

The correct answer is C. (31518). The numbers are $102,119,\ldots,986$, and there are (53) terms. Exam tip: find the first and last three-digit multiples.

Step 3

Exam Tip

संख्याएँ $102,119,\ldots,986$ हैं और कुल (53) पद हैं। परीक्षा में पहला और अंतिम तीन अंकीय गुणज निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

तीन अंकों वाली उन सभी संख्याओं का योग ज्ञात कीजिए जिन्हें (13) से भाग देने पर शेष (7) आता है।

Find the sum of all three-digit numbers that leave remainder (7) when divided by (13).

Explanation opens after your attempt

Correct Answer

D. (38157)

Step 1

Concept

The numbers are $111,124,\ldots,995$, and their sum is (38157). A remainder-based AP has common difference equal to the divisor.

Step 2

Why this answer is correct

The correct answer is D. (38157). The numbers are $111,124,\ldots,995$, and their sum is (38157). A remainder-based AP has common difference equal to the divisor.

Step 3

Exam Tip

संख्याएँ $111,124,\ldots,995$ हैं और उनका योग (38157) है। शेष वाली श्रेढ़ी का सार्व अंतर भाजक के बराबर होता है।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (21) से विभाज्य हैं लेकिन (42) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (21) but not by (42).

Explanation opens after your attempt

Correct Answer

D. (12012)

Step 1

Concept

The numbers are $105,147,\ldots,987$, and their sum is (12012). In this condition, the new AP has common difference (42).

Step 2

Why this answer is correct

The correct answer is D. (12012). The numbers are $105,147,\ldots,987$, and their sum is (12012). In this condition, the new AP has common difference (42).

Step 3

Exam Tip

संख्याएँ $105,147,\ldots,987$ हैं और उनका योग (12012) है। ऐसी शर्त में नई श्रेढ़ी का अंतर (42) हो जाता है।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

तीन अंकों वाली उन सभी संख्याओं का योग ज्ञात कीजिए जो (19) से विभाज्य हैं।

Find the sum of all three-digit numbers divisible by (19).

Explanation opens after your attempt

Correct Answer

A. (25897)

Step 1

Concept

The first number is (114), the last is (988), and there are (47) terms, so the sum is (25897). In divisibility questions, choose the first and last values carefully.

Step 2

Why this answer is correct

The correct answer is A. (25897). The first number is (114), the last is (988), and there are (47) terms, so the sum is (25897). In divisibility questions, choose the first and last values carefully.

Step 3

Exam Tip

पहली संख्या (114), अंतिम (988) और कुल (47) पद हैं, इसलिए योग (25897) है। विभाज्यता वाले प्रश्नों में पहला और अंतिम मान सावधानी से चुनें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (15) से विभाज्य हैं लेकिन (30) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (15) but not by (30).

Explanation opens after your attempt

Correct Answer

B. (16200)

Step 1

Concept

The numbers are $105,135,\ldots,975$, and their sum is (16200). In this condition, the new AP has common difference (30).

Step 2

Why this answer is correct

The correct answer is B. (16200). The numbers are $105,135,\ldots,975$, and their sum is (16200). In this condition, the new AP has common difference (30).

Step 3

Exam Tip

संख्याएँ $105,135,\ldots,975$ हैं और उनका योग (16200) है। ऐसी शर्त में नई श्रेढ़ी का अंतर (30) हो जाता है।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

तीन अंकों वाली उन सभी संख्याओं का योग ज्ञात कीजिए जो (17) से विभाज्य हैं।

Find the sum of all three-digit numbers divisible by (17).

Explanation opens after your attempt

Correct Answer

B. (28832)

Step 1

Concept

The first number is (102), the last is (986), and there are (53) terms, so the sum is (28832). In divisibility questions, choose the first and last values carefully.

Step 2

Why this answer is correct

The correct answer is B. (28832). The first number is (102), the last is (986), and there are (53) terms, so the sum is (28832). In divisibility questions, choose the first and last values carefully.

Step 3

Exam Tip

पहली संख्या (102), अंतिम (986) और कुल (53) पद हैं, इसलिए योग (28832) है। विभाज्यता वाले प्रश्नों में पहला और अंतिम मान सावधानी से चुनें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

तीन अंकों वाली उन संख्याओं का योग ज्ञात कीजिए जो (6) से विभाज्य हैं लेकिन (12) से विभाज्य नहीं हैं।

Find the sum of all three-digit numbers that are divisible by (6) but not by (12).

Explanation opens after your attempt

Correct Answer

C. (40950)

Step 1

Concept

The numbers are $102,114,\ldots,990$, and their sum is (40950). In such a condition, a new AP with common difference (12) is formed.

Step 2

Why this answer is correct

The correct answer is C. (40950). The numbers are $102,114,\ldots,990$, and their sum is (40950). In such a condition, a new AP with common difference (12) is formed.

Step 3

Exam Tip

संख्याएँ $102,114,\ldots,990$ हैं और उनका योग (40950) है। ऐसी शर्त में (12) के अंतर वाली नई श्रेढ़ी बनती है।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

तीन अंकों वाली उन सभी विषम संख्याओं का योग ज्ञात कीजिए जो (9) से विभाज्य हैं।

Find the sum of all three-digit odd numbers that are divisible by (9).

Explanation opens after your attempt

Correct Answer

B. (27900)

Step 1

Concept

The numbers are $117,135,\ldots,999$, and the sum of (50) terms is (27900). For odd multiples, the common difference is (18).

Step 2

Why this answer is correct

The correct answer is B. (27900). The numbers are $117,135,\ldots,999$, and the sum of (50) terms is (27900). For odd multiples, the common difference is (18).

Step 3

Exam Tip

संख्याएँ $117,135,\ldots,999$ हैं और (50) पदों का योग (27900) है। विषम गुणजों में अंतर (18) होगा।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

तीन अंकों वाली उन सभी संख्याओं का योग ज्ञात कीजिए जो (13) से विभाज्य हैं।

Find the sum of all three-digit numbers that are divisible by (13).

Explanation opens after your attempt

Correct Answer

B. (37674)

Step 1

Concept

The first number is (104), the last is (988), and there are (69) terms, so the sum is (37674). In divisibility questions, choose the first and last values carefully.

Step 2

Why this answer is correct

The correct answer is B. (37674). The first number is (104), the last is (988), and there are (69) terms, so the sum is (37674). In divisibility questions, choose the first and last values carefully.

Step 3

Exam Tip

पहली संख्या (104), अंतिम (988) और कुल (69) पद हैं, इसलिए योग (37674) है। विभाज्यता वाले प्रश्नों में पहला और अंतिम मान सावधानी से चुनें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

तीन अंकों वाली पहली संख्या (100) है जो (7) से विभाज्य नहीं है, लेकिन $105,112,119,\ldots$ तीन अंकों वाली (7) की गुणज AP है। इस AP का (50)वां पद क्या होगा?

The first three-digit number is (100), which is not divisible by (7), but $105,112,119,\ldots$ is the AP of three-digit multiples of (7). What is the (50)th term of this AP?

Explanation opens after your attempt

Correct Answer

B. (448)

Step 1

Concept

In this AP, (a=105), (d=7), so $a_{50}=105+49\times7=448$. In an AP of multiples, choose the first correct multiple.

Step 2

Why this answer is correct

The correct answer is B. (448). In this AP, (a=105), (d=7), so $a_{50}=105+49\times7=448$. In an AP of multiples, choose the first correct multiple.

Step 3

Exam Tip

इस AP में (a=105), (d=7), इसलिए $a_{50}=105+49\times7=448$। गुणजों की AP में पहला सही गुणज चुनें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=18) और (d=-5) है तो पहले तीन पदों का सही क्रम कौन सा है?

If (a=18) and (d=-5), which is the correct order of the first three terms?

Explanation opens after your attempt

Correct Answer

B. (18,13,8)

Step 1

Concept

Adding (-5) each time gives (18,13,8). Understand negative difference as subtraction.

Step 2

Why this answer is correct

The correct answer is B. (18,13,8). Adding (-5) each time gives (18,13,8). Understand negative difference as subtraction.

Step 3

Exam Tip

हर बार (-5) जोड़ने पर (18,13,8) मिलता है। ऋणात्मक अंतर को घटाव की तरह समझें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (a=12) और (d=-4) है तो पहले तीन पदों का सही क्रम कौन सा है?

If (a=12) and (d=-4), which is the correct order of the first three terms?

Explanation opens after your attempt

Correct Answer

A. (12,8,4)

Step 1

Concept

Adding (-4) each time gives (12,8,4). Understand negative difference as subtraction.

Step 2

Why this answer is correct

The correct answer is A. (12,8,4). Adding (-4) each time gives (12,8,4). Understand negative difference as subtraction.

Step 3

Exam Tip

हर बार (-4) जोड़ने पर (12,8,4) मिलता है। ऋणात्मक अंतर को घटाव की तरह समझें।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (a=4) और (d=6) है तो अंकगणितीय श्रेणी के पहले तीन पद कौन से हैं?

If (a=4) and (d=6), what are the first three terms of the arithmetic progression?

Explanation opens after your attempt

Correct Answer

B. (4,10,16)

Step 1

Concept

The first three terms are (4,4+6,4+12). Add (d) each time while forming terms.

Step 2

Why this answer is correct

The correct answer is B. (4,10,16). The first three terms are (4,4+6,4+12). Add (d) each time while forming terms.

Step 3

Exam Tip

पहले तीन पद (4,4+6,4+12) हैं। पद बनाते समय हर बार (d) जोड़ें।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 41

तीन लगातार धनात्मक पूर्णांकों में पहले और तीसरे का गुणनफल (195) है। बीच वाला पूर्णांक क्या है?

In three consecutive positive integers, the product of the first and the third is (195). What is the middle integer?

Explanation opens after your attempt

Correct Answer

A. (14)

Step 1

Concept

If the middle integer is (x), the first and third are (x-1) and (x+1). From ((x-1)(x+1)=195), (x=14).

Step 2

Why this answer is correct

The correct answer is A. (14). If the middle integer is (x), the first and third are (x-1) and (x+1). From ((x-1)(x+1)=195), (x=14).

Step 3

Exam Tip

यदि बीच वाला पूर्णांक (x) है, तो पहले और तीसरे (x-1) तथा (x+1) होंगे। ((x-1)(x+1)=195) से (x=14)।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 40

तीन लगातार धनात्मक पूर्णांकों में पहले और तीसरे का गुणनफल (143) है। बीच वाला पूर्णांक क्या है?

In three consecutive positive integers, the product of the first and the third is (143). What is the middle integer?

Explanation opens after your attempt

Correct Answer

A. (12)

Step 1

Concept

If the middle integer is (x), the first and third are (x-1) and (x+1). From ((x-1)(x+1)=143), (x=12).

Step 2

Why this answer is correct

The correct answer is A. (12). If the middle integer is (x), the first and third are (x-1) and (x+1). From ((x-1)(x+1)=143), (x=12).

Step 3

Exam Tip

यदि बीच वाला पूर्णांक (x) है, तो पहले और तीसरे (x-1) तथा (x+1) होंगे। ((x-1)(x+1)=143) से (x=12)।

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Question Hard Mathematics Real Numbers HCF and LCM using prime factorisation Class 10 Level 11

तीन संख्याओं के अभाज्य गुणनखंड $2^2\times3^3$, $2^4\times3^2\times5$ और $2^3\times3\times7$ हैं। उनका महत्तम समापवर्तक क्या है?

The prime factorisations of three numbers are $2^2\times3^3$, $2^4\times3^2\times5$, and $2^3\times3\times7$. What is their HCF?

Explanation opens after your attempt

Correct Answer

B. $2^2\times3$

Step 1

Concept

HCF of three numbers includes primes common to all three.

Step 2

Why this answer is correct

(2) and (3) are common, with smallest powers $2^2$ and (3).

Step 3

Exam Tip

For three numbers, compare all three powers before choosing. चरण 1: तीन संख्याओं के महत्तम समापवर्तक में वही अभाज्य आएँगे जो तीनों में समान हों। चरण 2: (2) और (3) तीनों में हैं; छोटी घातें $2^2$ और (3) हैं। चरण 3: तीन संख्याओं में छोटी घात तीनों की तुलना करके चुनें।

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Question Hard Mathematics Real Numbers HCF and LCM using prime factorisation Class 10 Level 10

तीन संख्याओं $2^4\times 3^2$, $2^2\times 3^5\times 5$ और $2^3\times 5^2$ का लघुत्तम समापवर्त्य क्या होगा?

What will be the LCM of the three numbers $2^4\times 3^2$, $2^2\times 3^5\times 5$, and $2^3\times 5^2$?

Explanation opens after your attempt

Correct Answer

A. $2^4\times 3^5\times 5^2$

Step 1

Concept

LCM takes the greatest exponent of every prime factor present.

Step 2

Why this answer is correct

The greatest exponent of (2) is (4), of (3) is (5), and of (5) is (2). So the answer is $2^4\times 3^5\times 5^2$.

Step 3

Exam Tip

Any prime appearing in at least one number must appear in the LCM. चरण 1: लघुत्तम समापवर्त्य में सभी अभाज्य गुणनखंडों के सबसे बड़े घातांक लिए जाते हैं। चरण 2: (2) का बड़ा घातांक (4), (3) का (5), और (5) का (2) है। इसलिए उत्तर $2^4\times 3^5\times 5^2$। चरण 3: जो अभाज्य संख्या किसी एक संख्या में भी हो, वह लघुत्तम समापवर्त्य में आती है।

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Question Hard Mathematics Real Numbers HCF and LCM using prime factorisation Class 10 Level 10

तीन संख्याओं $2^4\times 3^2\times 5$, $2^3\times 3^3\times 7$ और $2^5\times 3\times 5\times 7$ का महत्तम समापवर्तक क्या है?

What is the HCF of the three numbers $2^4\times 3^2\times 5$, $2^3\times 3^3\times 7$, and $2^5\times 3\times 5\times 7$?

Explanation opens after your attempt

Correct Answer

A. $2^3\times 3$

Step 1

Concept

HCF contains only the prime factors common to all three numbers.

Step 2

Why this answer is correct

The smallest exponent of (2) is (3) and of (3) is (1). (5) and (7) are not common to all. Hence the answer is $2^3\times 3$.

Step 3

Exam Tip

For three numbers, first identify prime factors common to all. चरण 1: महत्तम समापवर्तक में केवल वे अभाज्य गुणनखंड आते हैं जो तीनों में हों। चरण 2: (2) का छोटा घातांक (3) और (3) का छोटा घातांक (1) है। (5) और (7) तीनों में साथ नहीं हैं। इसलिए उत्तर $2^3\times 3$ है। चरण 3: तीन संख्याओं में समान गुणनखंड पहचानना सबसे जरूरी है।

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Question Hard Science World of Living Heredity and Evolution Class 10 Level 21

द्विलक्षणी संकरण की दूसरी पीढ़ी में नौ अनुपात तीन अनुपात तीन अनुपात एक किस बात का संकेत है?

In the second generation of a dihybrid cross, what does the ratio nine ratio three ratio three ratio one indicate?

Explanation opens after your attempt

Correct Answer

A. दो लक्षणों का स्वतंत्र वर्गीकरणIndependent assortment of two traits

Step 1

Concept

This ratio is obtained in a cross involving two traits.

Step 2

Why this answer is correct

Both parental and new combinations appear.

Step 3

Exam Tip

It is an important sign of independent assortment. चरण 1: यह अनुपात दो लक्षणों को साथ लेकर किए गए संकरण में मिलता है। चरण 2: इसमें पुराने और नए दोनों प्रकार के संयोजन बनते हैं। चरण 3: यह स्वतंत्र वर्गीकरण का महत्वपूर्ण प्रमाण है।

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Question Hard Social Science The Age of Industrialisation The Making of Germany and Italy Class 10 Level 7

जर्मनी के एकीकरण में सात वर्षों में तीन युद्धों का उल्लेख किस कारण किया जाता है?

Why are three wars in seven years mentioned in German unification?

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Correct Answer

A. इन युद्धों ने प्रशा के नेतृत्व को क्रमशः मजबूत कियाThese wars gradually strengthened Prussian leadership

Step 1

Concept

Bismarck linked wars with political goals.

Step 2

Why this answer is correct

Successes against Denmark Austria and France strengthened Prussia.

Step 3

Exam Tip

These prepared the way for the proclamation of the German Empire. चरण 1: बिस्मार्क ने युद्धों को राजनीतिक लक्ष्य से जोड़ा। चरण 2: डेनमार्क ऑस्ट्रिया और फ्रांस के विरुद्ध सफलताओं ने प्रशा को मजबूत किया। चरण 3: इनसे जर्मन साम्राज्य की घोषणा का रास्ता बना।

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Question Expert Social Science The Age of Industrialisation The Making of Germany and Italy Class 10 Level 5

बिस्मार्क द्वारा तीन युद्धों को एकीकरण की प्रक्रिया में जोड़ने का मुख्य राजनीतिक उद्देश्य क्या था?

What was the main political aim of linking three wars with the process of unification under Bismarck?

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Correct Answer

A. प्रशा के विरोधियों को क्रमशः कमजोर कर जर्मन नेतृत्व प्राप्त करनाTo gradually weaken Prussia's rivals and gain German leadership

Step 1

Concept

Prussia faced obstacles like Denmark Austria and France.

Step 2

Why this answer is correct

Bismarck linked wars with political aims.

Step 3

Exam Tip

These victories made Prussia the centre of German leadership. चरण 1: प्रशा के सामने डेनमार्क ऑस्ट्रिया और फ्रांस जैसी बाधाएं थीं। चरण 2: बिस्मार्क ने युद्धों को राजनीतिक लक्ष्य से जोड़ा। चरण 3: इन विजयों ने प्रशा को जर्मन नेतृत्व का केंद्र बना दिया।

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यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

एक ग्राफ (x)-अक्ष को तीन बार काटता है। उस बहुपद की न्यूनतम संभावित डिग्री क्या हो सकती है?

Concept

Why this answer is correct

Exam Tip

यदि किसी बहुपद का ग्राफ (x)-अक्ष को तीन अलग बिंदुओं पर काटता है, तो बहुपद की न्यूनतम संभावित घात क्या हो सकती है?

Concept

Why this answer is correct

Exam Tip

एक छात्र \(x^2+2x+1\) की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?

Concept

Why this answer is correct

Exam Tip

तीन कुर्सियों और दो मेजों की कीमत (4900) रुपये है। दो कुर्सियों और तीन मेजों की कीमत (5600) रुपये है। एक मेज की कीमत क्या है?

Concept

Why this answer is correct

Exam Tip

तीन पेन और दो कॉपियों की कीमत (86) रुपये है। दो पेन और तीन कॉपियों की कीमत (89) रुपये है। एक पेन की कीमत क्या है?

Concept

Why this answer is correct

Exam Tip

द्विलक्षणी संकरण की दूसरी पीढ़ी में नौ अनुपात तीन अनुपात तीन अनुपात एक का महत्व क्या है?

Concept

Why this answer is correct

Exam Tip

द्विलक्षणी संकरण में नौ अनुपात तीन अनुपात तीन अनुपात एक परिणाम किस विचार को मजबूत करता है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=(k-3)x-5+2x-3-x+9) की घात (3) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=mx-5+(m-4)x-4+3x-2+1) की घात (4) है, तो (m) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=ax-5+bx-4+cx-3+d) में (a=0), \(b\ne0\) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

(p(x)=6x-5-4x-2+1) और (q(x)=-6x-5+3x-4+x-9) के योग की घात क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=(a-1)x-6+(a+2)x-4-5x+7) की घात (4) है, तो (a) क्या होगा?

Concept

Why this answer is correct

Exam Tip

किस मान के लिए (p(x)=(m-2)x-4+3x-2+x+1) की घात (2) से अधिक नहीं होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=x-4-5x-2+4) है, तो (p(x)) का घात कितना है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=mx-4+(m+2)x-3+5x+1) की घात (3) है, तो (m) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=ax-4+bx-3+cx-2+d) में (a=0), (b=0) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

Concept

Why this answer is correct

Exam Tip

(p(x)=5x-4-2x-2+1) और (q(x)=-5x-4+3x-3+x-6) के योग की घात क्या है?

Concept

Why this answer is correct

यदि (p(x)=(k-3)x^-5+2x^-3-x+9) की घात (3) है, तो (k) क्या है?

यदि (p(x)=mx^-5+(m^-4)x^-4+3x^-2+1) की घात (4) है, तो (m) क्या है?

यदि (p(x)=ax^-5+bx^-4+cx^-3+d) में (a=0), \(b\ne0\) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=6x^-5-4x^-2+1) और (q(x)=-6x^-5+3x^-4+x-9) के योग की घात क्या है?

यदि (p(x)=(a-1)x^-6+(a+2)x^-4-5x+7) की घात (4) है, तो (a) क्या होगा?

किस मान के लिए (p(x)=(m^-2)x^-4+3x^-2+x+1) की घात (2) से अधिक नहीं होगी?

यदि (p(x)=x^-4-5x^-2+4) है, तो (p(x)) का घात कितना है?

यदि (p(x)=mx^-4+(m+2)x^-3+5x+1) की घात (3) है, तो (m) क्या है?

यदि (p(x)=ax^-4+bx^-3+cx^-2+d) में (a=0), (b=0) और \(c\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=5x^-4-2x^-2+1) और (q(x)=-5x^-4+3x^-3+x-6) के योग की घात क्या है?

यदि (p(x)=(m+2)x^-5+(m^-3)x^-4+6x-1) की घात (4) है, तो (m) क्या होगा?

यदि (p(x)=mx^-3+(m^-1)x^-2+2x+1) की घात (2) है, तो (m) क्या है?

यदि (p(x)=ax^-3+bx^-2+cx+d) में (a=0) और \(b\ne0\), तो (p(x)) की घात क्या होगी?

(p(x)=4x^-4-3x^-2+2) और (q(x)=-4x^-4+5x^-3+x-8) के योग की घात क्या है?

यदि (p(x)=(a-5)x^-5+2x^-3-7x+4) की घात (3) है, तो (a) क्या होगा?

यदि (p(x)=(k-4)x^-4+3x^-2-5x+2) की घात (2) है, तो (k) का मान क्या होगा?

(p(x)=0x^-5+7x^-3-2x+1) की घात क्या है?

बहुपद (p(x)=11x^-6-4x^-3+x-9) की घात क्या है?

किस मान के लिए (p(x)=(a-2)x^-3+4x^-2+1) की घात (2) हो जाएगी?

यदि (p(x)=ax^-2+3x+5) की घात (1) है, तो (a) का मान क्या होगा?

यदि (p(x)=(m^-2)x^-3+4x^-2-7) की घात (2) है, तो (m) का मान क्या होगा?