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100 results found for "degree-five" in Class 10.

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 Medium Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 6

दांतों की सड़न में मुंह का पीएच पाँच दशमलव पाँच से कम होना क्यों हानिकारक है?

Why is mouth pH below five point five harmful in tooth decay?

Explanation opens after your attempt
Correct Answer

A. अम्ल दांतों के आवरण को कमजोर करता हैAcid weakens tooth enamel

Step 1

Concept

Lower pH indicates higher acidity.

Step 2

Why this answer is correct

Acid can damage the hard enamel of teeth.

Step 3

Exam Tip

Therefore low pH can increase tooth decay. चरण 1: कम पीएच अधिक अम्लीयता बताता है। चरण 2: अम्ल दांतों के कठोर आवरण को नुकसान पहुंचा सकता है। चरण 3: इसलिए कम पीएच दांतों की सड़न बढ़ा सकता है।

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

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

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

Explanation opens after your attempt
Correct Answer

D. (5)

Step 1

Concept

For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is D. (5). For five distinct real zeroes the degree must be at least (5). Tip: the number of zeroes cannot exceed the degree.

Step 3

Exam Tip

पाँच अलग वास्तविक शून्यकों के लिए घात कम से कम (5) होनी चाहिए। टिप: शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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

मार्टिन लूथर द्वारा पंचानबे थीसिस किस आंदोलन से जुड़ी थी?

Martin Luther's Ninety Five Theses were linked with which movement?

Explanation opens after your attempt
Correct Answer

C. प्रोटेस्टेंट सुधारProtestant Reformation

Step 1

Concept

The Ninety Five Theses were linked with the Protestant Reformation. For exams remember Martin Luther with religious reform.

Step 2

Why this answer is correct

The correct answer is C. प्रोटेस्टेंट सुधार / Protestant Reformation. The Ninety Five Theses were linked with the Protestant Reformation. For exams remember Martin Luther with religious reform.

Step 3

Exam Tip

पंचानबे थीसिस प्रोटेस्टेंट सुधार से जुड़ी थीं। परीक्षा में मार्टिन लूथर और धार्मिक सुधार साथ याद रखें।

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

जोसेफ स्टालिन की पंचवर्षीय योजनाएं किस क्षेत्र से जुड़ी थीं?

Joseph Stalin's Five Year Plans were linked with which field?

Explanation opens after your attempt
Correct Answer

C. तेज औद्योगिकीकरण और केंद्रीकृत अर्थव्यवस्थाRapid industrialization and centralized economy

Step 1

Concept

Stalin's Five Year Plans stressed Soviet industrialization. For exams connect them with state controlled economy.

Step 2

Why this answer is correct

The correct answer is C. तेज औद्योगिकीकरण और केंद्रीकृत अर्थव्यवस्था / Rapid industrialization and centralized economy. Stalin's Five Year Plans stressed Soviet industrialization. For exams connect them with state controlled economy.

Step 3

Exam Tip

स्टालिन की पंचवर्षीय योजनाओं ने सोवियत औद्योगिकीकरण पर जोर दिया। परीक्षा में इन्हें राज्य नियंत्रित अर्थव्यवस्था से जोड़ें।

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Question Easy General Knowledge Indian History Important Dates in Indian History Class 10 Level 40

दूसरी पंचवर्षीय योजना किस वर्ष शुरू हुई थी?

The Second Five-Year Plan began in which year?

Explanation opens after your attempt
Correct Answer

B. सन् 19561956

Step 1

Concept

The Second Five-Year Plan began in 1956. In exams remember its focus on heavy industries.

Step 2

Why this answer is correct

The correct answer is B. सन् 1956 / 1956. The Second Five-Year Plan began in 1956. In exams remember its focus on heavy industries.

Step 3

Exam Tip

दूसरी पंचवर्षीय योजना 1956 में शुरू हुई थी। परीक्षा में भारी उद्योगों पर इसका जोर याद रखें।

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Question Easy General Knowledge Indian History Important Dates in Indian History Class 10 Level 40

प्रथम पंचवर्षीय योजना किस वर्ष शुरू हुई थी?

The First Five-Year Plan began in which year?

Explanation opens after your attempt
Correct Answer

B. सन् 19511951

Step 1

Concept

The First Five-Year Plan began in 1951. In exams remember its focus on agriculture and irrigation.

Step 2

Why this answer is correct

The correct answer is B. सन् 1951 / 1951. The First Five-Year Plan began in 1951. In exams remember its focus on agriculture and irrigation.

Step 3

Exam Tip

प्रथम पंचवर्षीय योजना 1951 में शुरू हुई थी। परीक्षा में कृषि और सिंचाई पर इसके जोर को याद रखें।

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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 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 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 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 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 Hard General Knowledge Indian Geography Rivers and Lakes of India Class 10 Level 91

सिंधु तंत्र की पांच प्रमुख नदियों का सही समूह कौन सा है?

Which is the correct group of five major rivers of the Indus system?

Explanation opens after your attempt
Correct Answer

C. झेलम चिनाब रावी ब्यास सतलुजJhelum Chenab Ravi Beas Sutlej

Step 1

Concept

Jhelum Chenab Ravi Beas and Sutlej are major rivers of the Indus system. For exams study the five rivers of Punjab together.

Step 2

Why this answer is correct

The correct answer is C. झेलम चिनाब रावी ब्यास सतलुज / Jhelum Chenab Ravi Beas Sutlej. Jhelum Chenab Ravi Beas and Sutlej are major rivers of the Indus system. For exams study the five rivers of Punjab together.

Step 3

Exam Tip

झेलम चिनाब रावी ब्यास और सतलुज सिंधु तंत्र की प्रमुख नदियां हैं। परीक्षा में पंजाब की पांच नदियां साथ पढ़ें।

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Question Medium General Knowledge Indian Geography Rivers and Lakes of India Class 10 Level 91

सिंधु नदी तंत्र की पांच प्रमुख भारतीय उपनदियों को पहचानने में कौन सा समूह सही है?

Which group correctly identifies the five major Indian tributaries of the Indus system?

Explanation opens after your attempt
Correct Answer

A. झेलम चिनाब रावी व्यास सतलुजJhelum Chenab Ravi Beas Sutlej

Step 1

Concept

Jhelum Chenab Ravi Beas and Sutlej are major rivers of the Indus system. For exams remember the five rivers of Punjab together.

Step 2

Why this answer is correct

The correct answer is A. झेलम चिनाब रावी व्यास सतलुज / Jhelum Chenab Ravi Beas Sutlej. Jhelum Chenab Ravi Beas and Sutlej are major rivers of the Indus system. For exams remember the five rivers of Punjab together.

Step 3

Exam Tip

झेलम चिनाब रावी व्यास और सतलुज सिंधु तंत्र की प्रमुख नदियां हैं। परीक्षा में पंजाब की पांच नदियां साथ याद रखें।

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Question Medium General Knowledge World History Important Historical Events Class 10 Level 73

मार्टिन लूथर की पंचानवे थीसिस किस आंदोलन की शुरुआत से जुड़ी मानी जाती है?

Martin Luther's Ninety Five Theses are linked with the beginning of which movement?

Explanation opens after your attempt
Correct Answer

A. धर्म सुधार आंदोलनReformation

Step 1

Concept

The Ninety Five Theses accelerated debate on church reform in Europe. Exam tip: remember 1517.

Step 2

Why this answer is correct

The correct answer is A. धर्म सुधार आंदोलन / Reformation. The Ninety Five Theses accelerated debate on church reform in Europe. Exam tip: remember 1517.

Step 3

Exam Tip

पंचानवे थीसिस ने यूरोपीय चर्च सुधार की बहस को तेज किया। परीक्षा में वर्ष पंद्रह सौ सत्रह याद रखें।

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Question Easy General Knowledge World History Important Historical Events Class 10 Level 71

धर्म सुधार आंदोलन में पचानवे थीसिस किस व्यक्ति से जुड़ी थीं?

The Ninety-Five Theses in the Reformation were associated with which person?

Explanation opens after your attempt
Correct Answer

C. मार्टिन लूथरMartin Luther

Step 1

Concept

The Ninety-Five Theses were associated with Martin Luther. For exams connect the Reformation with religious change in Europe.

Step 2

Why this answer is correct

The correct answer is C. मार्टिन लूथर / Martin Luther. The Ninety-Five Theses were associated with Martin Luther. For exams connect the Reformation with religious change in Europe.

Step 3

Exam Tip

पचानवे थीसिस मार्टिन लूथर से जुड़ी थीं। परीक्षा में धर्म सुधार को यूरोप के धार्मिक बदलाव से जोड़ें।

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Question Medium General Knowledge World History Famous World Leaders Class 10 Level 67

जोसेफ स्टालिन की पंचवर्षीय योजनाएं मुख्य रूप से किस उद्देश्य से जुड़ी थीं?

Joseph Stalin's Five-Year Plans were mainly linked with which objective?

Explanation opens after your attempt
Correct Answer

D. औद्योगिकीकरणIndustrialization

Step 1

Concept

Stalin's Five-Year Plans were linked with Soviet industrialization. For exams, remember him with centralized planning.

Step 2

Why this answer is correct

The correct answer is D. औद्योगिकीकरण / Industrialization. Stalin's Five-Year Plans were linked with Soviet industrialization. For exams, remember him with centralized planning.

Step 3

Exam Tip

स्टालिन की पंचवर्षीय योजनाएं सोवियत औद्योगिकीकरण से जुड़ी थीं। परीक्षा में उन्हें केंद्रीकृत योजना से याद रखें।

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Question Medium General Knowledge World History United Nations History Class 10 Level 62

सुरक्षा परिषद के पांच स्थायी सदस्यों को पी फाइव क्यों कहा जाता है?

Why are the five permanent members of the Security Council called the P5?

Explanation opens after your attempt
Correct Answer

A. क्योंकि वे स्थायी सदस्य हैं और वीटो रखते हैंBecause they are permanent members and hold veto power

Step 1

Concept

The P5 includes the USA UK France Russia and China. Exam tip: remember both their names and veto power.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि वे स्थायी सदस्य हैं और वीटो रखते हैं / Because they are permanent members and hold veto power. The P5 includes the USA UK France Russia and China. Exam tip: remember both their names and veto power.

Step 3

Exam Tip

पी फाइव में अमेरिका ब्रिटेन फ्रांस रूस और चीन शामिल हैं। परीक्षा में उनके नाम और वीटो दोनों याद रखें।

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Question Medium General Knowledge World History United Nations History Class 10 Level 61

सुरक्षा परिषद के पांच स्थायी सदस्य अक्सर किस संक्षिप्त नाम से पहचाने जाते हैं?

The five permanent members of the Security Council are often known by which abbreviation?

Explanation opens after your attempt
Correct Answer

A. पी फाइवP5

Step 1

Concept

The five permanent members are called P5 and have veto power. Exam tip: remember P5 and veto together.

Step 2

Why this answer is correct

The correct answer is A. पी फाइव / P5. The five permanent members are called P5 and have veto power. Exam tip: remember P5 and veto together.

Step 3

Exam Tip

पांच स्थायी सदस्य पी फाइव कहलाते हैं और उनके पास वीटो शक्ति होती है। परीक्षा में पी फाइव और वीटो को साथ याद रखें।

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Question Easy General Knowledge World History United Nations History Class 10 Level 61

संयुक्त राष्ट्र सुरक्षा परिषद के पांच स्थायी सदस्यों में कौन सा समूह सही है?

Which group correctly lists the five permanent members of the UN Security Council?

Explanation opens after your attempt
Correct Answer

A. अमेरिका ब्रिटेन फ्रांस रूस चीनUSA UK France Russia China

Step 1

Concept

The five permanent members are the USA UK France Russia and China. Exam tip: remember them as the P5.

Step 2

Why this answer is correct

The correct answer is A. अमेरिका ब्रिटेन फ्रांस रूस चीन / USA UK France Russia China. The five permanent members are the USA UK France Russia and China. Exam tip: remember them as the P5.

Step 3

Exam Tip

सुरक्षा परिषद के पांच स्थायी सदस्य अमेरिका ब्रिटेन फ्रांस रूस और चीन हैं। परीक्षा में इन्हें पी फाइव के रूप में याद रखें।

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Question Hard General Knowledge World History important date of bharat ratna awards Class 10 Level 48

किस वर्ष भारत रत्न प्राप्तकर्ताओं की संख्या पांच रही?

In which year was the number of Bharat Ratna recipients five?

Explanation opens after your attempt
Correct Answer

C. 20242024

Step 1

Concept

In 2024 five persons were announced for the Bharat Ratna. Remember the 2024 count especially.

Step 2

Why this answer is correct

The correct answer is C. 2024 / 2024. In 2024 five persons were announced for the Bharat Ratna. Remember the 2024 count especially.

Step 3

Exam Tip

2024 में पांच व्यक्तियों के नाम भारत रत्न के लिए घोषित हुए। परीक्षा में 2024 की संख्या विशेष रूप से याद रखें।

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Question Hard General Knowledge World History important date of bharat ratna awards Class 10 Level 45

किस वर्ष में भारत रत्न प्राप्तकर्ताओं की संख्या इस सूची में सबसे अधिक पांच थी?

In which year was the number of Bharat Ratna recipients in this list the highest at five?

Explanation opens after your attempt
Correct Answer

C. 20242024

Step 1

Concept

In 2024 five names were announced making it the largest group in this list. Remember the 2024 count especially.

Step 2

Why this answer is correct

The correct answer is C. 2024 / 2024. In 2024 five names were announced making it the largest group in this list. Remember the 2024 count especially.

Step 3

Exam Tip

2024 में पांच व्यक्तियों के नाम घोषित हुए जो इस सूची में सबसे बड़ा समूह है। परीक्षा में 2024 की संख्या विशेष रूप से याद रखें।

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Question Easy General Knowledge Indian History Medieval Indian History Class 10 Level 11

दिल्ली सल्तनत के पांच वंशों में सबसे पहले कौन सा वंश आया?

Which dynasty came first among the five dynasties of the Delhi Sultanate?

Explanation opens after your attempt
Correct Answer

A. गुलाम वंशSlave dynasty

Step 1

Concept

The Slave dynasty was the first dynasty of the Delhi Sultanate. For exams, remember the sequence of Sultanate dynasties.

Step 2

Why this answer is correct

The correct answer is A. गुलाम वंश / Slave dynasty. The Slave dynasty was the first dynasty of the Delhi Sultanate. For exams, remember the sequence of Sultanate dynasties.

Step 3

Exam Tip

गुलाम वंश दिल्ली सल्तनत का पहला वंश था। परीक्षा में सल्तनत वंशों का क्रम याद रखें।

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

जैन पंच महाव्रतों में ब्रह्मचर्य जोड़ने का श्रेय किस तीर्थंकर से जुड़ा माना जाता है?

The addition of Brahmacharya to the Jain five great vows is associated with which Tirthankara?

Explanation opens after your attempt
Correct Answer

C. महावीरMahavira

Step 1

Concept

Mahavira is considered to have added Brahmacharya prominently to Parshvanatha's four-vow tradition. For exams, remember the difference between the 23rd and 24th Tirthankaras.

Step 2

Why this answer is correct

The correct answer is C. महावीर / Mahavira. Mahavira is considered to have added Brahmacharya prominently to Parshvanatha's four-vow tradition. For exams, remember the difference between the 23rd and 24th Tirthankaras.

Step 3

Exam Tip

महावीर ने पार्श्वनाथ की चार व्रत परंपरा में ब्रह्मचर्य को प्रमुख रूप से जोड़ा माना जाता है। परीक्षा में तेईसवें और चौबीसवें तीर्थंकर का अंतर याद रखें।

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Question Hard General Knowledge Indian History Ancient Indian History Class 10 Level 5

महावीर के पंच महाव्रतों में ब्रह्मचर्य का अलग रूप से जोड़ना किस पूर्व तीर्थंकर से भिन्नता दिखाता है?

The separate addition of Brahmacharya among Mahavira's five great vows shows difference from which earlier Tirthankara?

Explanation opens after your attempt
Correct Answer

D. पार्श्वनाथParshvanatha

Step 1

Concept

Four vows are linked with Parshvanatha while Mahavira made Brahmacharya a separate great vow. For exams, remember development of Jain vows.

Step 2

Why this answer is correct

The correct answer is D. पार्श्वनाथ / Parshvanatha. Four vows are linked with Parshvanatha while Mahavira made Brahmacharya a separate great vow. For exams, remember development of Jain vows.

Step 3

Exam Tip

पार्श्वनाथ से चार व्रत जोड़े जाते हैं जबकि महावीर ने ब्रह्मचर्य को अलग महाव्रत बनाया। परीक्षा में जैन व्रतों का विकास याद रखें।

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Question Medium General Knowledge Indian History Ancient Indian History Class 10 Level 6

जैन धर्म के पंच महाव्रतों में अस्तेय का अर्थ क्या है?

What does Asteya mean among the five great vows of Jainism?

Explanation opens after your attempt
Correct Answer

A. चोरी न करनाNon-stealing

Step 1

Concept

Asteya means non-stealing. For exams, remember the meanings of the five great vows separately.

Step 2

Why this answer is correct

The correct answer is A. चोरी न करना / Non-stealing. Asteya means non-stealing. For exams, remember the meanings of the five great vows separately.

Step 3

Exam Tip

अस्तेय का अर्थ चोरी न करना है। परीक्षा में पांच महाव्रतों के अर्थ अलग-अलग याद रखें।

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

जैन धर्म के पांच महाव्रतों में कौन सा व्रत सत्य बोलने से संबंधित है?

Which of the five great vows of Jainism is related to speaking truth?

Explanation opens after your attempt
Correct Answer

A. सत्यSatya

Step 1

Concept

Satya is an important great vow of Jainism. For exams remember the meanings of the five vows separately.

Step 2

Why this answer is correct

The correct answer is A. सत्य / Satya. Satya is an important great vow of Jainism. For exams remember the meanings of the five vows separately.

Step 3

Exam Tip

सत्य जैन धर्म का महत्वपूर्ण महाव्रत है। परीक्षा में पांच महाव्रतों के अर्थ अलग अलग याद करें।

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

यदि (3,x,11,y,19) एक समांतर श्रेणी के लगातार पांच पद हैं, तो (x,y) और सामान्य अंतर क्या हैं?

If (3,x,11,y,19) are five consecutive terms of an AP, what are (x,y) and the common difference?

Explanation opens after your attempt
Correct Answer

B. (x=7,y=15,d=4)

Step 1

Concept

There are (4) equal gaps between the first and fifth terms, so \(d=\frac{19-3}{4}=4\). In exams, divide the total difference between distant terms by the number of gaps.

Step 2

Why this answer is correct

The correct answer is B. (x=7,y=15,d=4). There are (4) equal gaps between the first and fifth terms, so \(d=\frac{19-3}{4}=4\). In exams, divide the total difference between distant terms by the number of gaps.

Step 3

Exam Tip

पहले और पांचवें पद के बीच (4) बराबर अंतराल हैं, इसलिए \(d=\frac{19-3}{4}=4\)। परीक्षा में दूर दिए गए पदों के बीच कुल अंतर को अंतरालों की संख्या से भाग दें।

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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 पेंसिल और दो रबर की कीमत (31) रुपये है। दो पेंसिल और पांच रबर की कीमत (47) रुपये है। एक पेंसिल की कीमत क्या है?

Three pencils and two erasers cost (31) rupees. Two pencils and five erasers cost (47) rupees. What is the price of one pencil?

Explanation opens after your attempt
Correct Answer

C. (7) रुपये(7) rupees

Step 1

Concept

Let pencil be (p) and eraser be (e), so (3p+2e=31), (2p+5e=47). Elimination gives (p=7).

Step 2

Why this answer is correct

The correct answer is C. (7) रुपये / (7) rupees. Let pencil be (p) and eraser be (e), so (3p+2e=31), (2p+5e=47). Elimination gives (p=7).

Step 3

Exam Tip

यदि पेंसिल (p) और रबर (e) हो तो (3p+2e=31), (2p+5e=47)। विलोपन से (p=7) मिलता है।

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Question Expert Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 1

यदि किसी संख्या को 34 से भाग देने पर शेषफल 33 है, तो उसकी पांच गुनी संख्या को 34 से भाग देने पर शेषफल क्या होगा?

If a number leaves remainder 33 when divided by 34, what remainder will five times the number leave when divided by 34?

Explanation opens after your attempt
Correct Answer

C. 29

Step 1

Concept

For five times the number, the remainder part is \(5\times33=165\).

Step 2

Why this answer is correct

\(165=34\times4+29\), so the final remainder is 29.

Step 3

Exam Tip

After multiplication, always reduce the result below the divisor. चरण 1: पांच गुनी संख्या के लिए शेषफल \(5\times33=165\) होगा। चरण 2: \(165=34\times4+29\), इसलिए अंतिम शेषफल 29 है। चरण 3: गुणा के बाद मिले परिणाम को हमेशा भाजक से छोटा करें।

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Question Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 3

पांच लगातार पूर्णांकों में से कम से कम एक संख्या 5 से विभाज्य क्यों होती है?

Why is at least one number among five consecutive integers divisible by 5?

Explanation opens after your attempt
Correct Answer

A. क्योंकि 5 से भाग देने पर शेषफल 0, 1, 2, 3, 4 का चक्र आता हैBecause division by 5 gives the cycle of remainders 0, 1, 2, 3, 4

Step 1

Concept

Any integer divided by 5 has one of the forms (5q), (5q+1), (5q+2), (5q+3), or (5q+4).

Step 2

Why this answer is correct

Five consecutive integers cover all five remainders.

Step 3

Exam Tip

The number with remainder 0 is divisible by 5. चरण 1: कोई भी पूर्णांक 5 से भाग देने पर (5q), (5q+1), (5q+2), (5q+3), या (5q+4) रूप में होता है। चरण 2: पांच लगातार पूर्णांकों में ये पांचों शेषफल आ जाते हैं। चरण 3: जिस संख्या का शेषफल 0 है, वही 5 से विभाज्य होगी।

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Question Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

यदि कोई संख्या 20 से भाग देने पर शेषफल 3 देती है, तो उसकी पांच गुनी संख्या को 20 से भाग देने पर शेषफल क्या होगा?

If a number leaves remainder 3 when divided by 20, what is the remainder when five times the number is divided by 20?

Explanation opens after your attempt
Correct Answer

C. 15

Step 1

Concept

Let the number be (20q+3).

Step 2

Why this answer is correct

For five times the number, the remainder is \(5\times3=15\), which is less than 20.

Step 3

Exam Tip

In multiplication, multiply the remainder and check the limit. चरण 1: संख्या को (20q+3) मानें। चरण 2: पांच गुनी संख्या में शेषफल \(5\times3=15\) होगा, जो 20 से छोटा है। चरण 3: गुणा में शेषफल को ही गुणा करें और सीमा जांचें।

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Question Hard Science World of Living Reproduction Class 10 Level 27

यदि एक अंडाशय में पाँच बीजांड हैं और चार का निषेचन होता है तो सामान्यतः कितने बीज बनेंगे?

If an ovary has five ovules and four are fertilized, how many seeds will generally form?

Explanation opens after your attempt
Correct Answer

A. चारFour

Step 1

Concept

An ovule becomes a seed after fertilization.

Step 2

Why this answer is correct

The number of seeds generally depends on the number of fertilized ovules.

Step 3

Exam Tip

So four fertilized ovules can form four seeds. चरण 1: बीजांड निषेचन के बाद बीज बनता है। चरण 2: जितने बीजांड सफलतापूर्वक निषेचित होंगे उतने बीज बनने की संभावना होती है। चरण 3: इसलिए चार निषेचित बीजांडों से चार बीज बन सकते हैं।

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Question Medium Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 6

पीएच दो और पीएच पाँच वाले दो विलयनों में कौन सा अधिक अम्लीय है?

Between solutions of pH two and pH five which one is more acidic?

Explanation opens after your attempt
Correct Answer

A. पीएच दो वालाSolution with pH two

Step 1

Concept

Acidity increases as pH decreases.

Step 2

Why this answer is correct

pH two is lower than pH five.

Step 3

Exam Tip

Therefore the solution with pH two is more acidic. चरण 1: अम्लीयता बढ़ने पर पीएच घटता है। चरण 2: दो का पीएच पाँच से कम है। चरण 3: इसलिए पीएच दो वाला विलयन अधिक अम्लीय है।

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Question Expert Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 5

पाँच मैग्नीशियम ऑक्साइड कणों में मैग्नीशियम और ऑक्सीजन परमाणुओं का अनुपात क्या रहेगा?

What will be the ratio of magnesium atoms to oxygen atoms in five units of magnesium oxide?

Explanation opens after your attempt
Correct Answer

A. एक अनुपात एकOne to one

Step 1

Concept

Magnesium oxide has equal numbers of magnesium and oxygen atoms.

Step 2

Why this answer is correct

Five units have five atoms of each.

Step 3

Exam Tip

Therefore the ratio remains one to one. चरण 1: मैग्नीशियम ऑक्साइड में मैग्नीशियम और ऑक्सीजन बराबर संख्या में होते हैं। चरण 2: पाँच कणों में दोनों के पाँच पाँच परमाणु होंगे। चरण 3: इसलिए अनुपात एक अनुपात एक रहेगा।

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Question Hard Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 3

जल के वैद्युत वियोजन में यदि ऑक्सीजन का आयतन पांच मिलीलीटर है तो हाइड्रोजन का अपेक्षित आयतन कितना होगा?

In electrolysis of water if the volume of oxygen is five millilitres what is the expected volume of hydrogen?

Explanation opens after your attempt
Correct Answer

B. दस मिलीलीटरTen millilitres

Step 1

Concept

In electrolysis of water the volume ratio of hydrogen to oxygen is two to one.

Step 2

Why this answer is correct

Oxygen is five millilitres.

Step 3

Exam Tip

Therefore hydrogen will be ten millilitres. चरण 1: जल के वैद्युत वियोजन में हाइड्रोजन और ऑक्सीजन का आयतन अनुपात दो अनुपात एक होता है। चरण 2: ऑक्सीजन पांच मिलीलीटर है। चरण 3: इसलिए हाइड्रोजन दस मिलीलीटर होगी।

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

यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=-2), (x=0) और (x=3) पर काटता है, तो सबसे कम घात का मोनिक बहुपद कौन-सा है?

If the graph of a polynomial cuts the (x)-axis at (x=-2), (x=0), and (x=3), which is the monic polynomial of least degree?

Explanation opens after your attempt
Correct Answer

A. \(x^3-x^2-6x\)

Step 1

Concept

The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x-3-x-2-6x). Intersections with the (x)-axis give zeroes.

Step 2

Why this answer is correct

The correct answer is A. \(x^3-x^2-6x\). The zeroes are (-2,0,3), so the polynomial is (x(x+2)(x-3)=x-3-x-2-6x). Intersections with the (x)-axis give zeroes.

Step 3

Exam Tip

शून्यक (-2,0,3) हैं, इसलिए बहुपद (x(x+2)(x-3)=x-3-x-2-6x) है। (x)-अक्ष काटने के बिंदु शून्यक बताते हैं।

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

कौन-सा बहुपद (x) में (0) घात का है?

Which polynomial in (x) has degree (0)?

Explanation opens after your attempt
Correct Answer

A. (12)

Step 1

Concept

The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.

Step 2

Why this answer is correct

The correct answer is A. (12). The number (12) is a non-zero constant polynomial and its degree is (0). The degree of the zero polynomial is undefined.

Step 3

Exam Tip

(12) शून्य से भिन्न स्थिर बहुपद है और इसकी घात (0) है। (0) बहुपद की घात परिभाषित नहीं होती।

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

कौन-सा बहुपद (x) में (4) घात का है?

Which polynomial in (x) has degree (4)?

Explanation opens after your attempt
Correct Answer

A. \(x^4+x^2+1\)

Step 1

Concept

The highest power in \(x^4+x^2+1\) is (4). So its degree is (4).

Step 2

Why this answer is correct

The correct answer is A. \(x^4+x^2+1\). The highest power in \(x^4+x^2+1\) is (4). So its degree is (4).

Step 3

Exam Tip

\(x^4+x^2+1\) में सबसे बड़ी घात (4) है। इसलिए इसकी घात (4) है।

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

यदि बहुपद का ग्राफ (x)-अक्ष को चार अलग बिंदुओं पर काटता है तो डिग्री के बारे में कौन सा कथन सही है?

If the graph of a polynomial cuts the (x)-axis at four distinct points, which statement about its degree is correct?

Explanation opens after your attempt
Correct Answer

A. डिग्री कम से कम (4) होगीThe degree is at least (4)

Step 1

Concept

Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is A. डिग्री कम से कम (4) होगी / The degree is at least (4). Four distinct real zeroes need degree at least four. The number of zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यक के लिए डिग्री कम से कम चार चाहिए। शून्यकों की संख्या डिग्री से अधिक नहीं होती।

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Question Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (8). For eight distinct real zeroes, the degree must be at least (8). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

आठ अलग वास्तविक शून्यकों के लिए घात कम से कम (8) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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

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

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

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (7). For seven distinct real zeroes, the degree must be at least (7). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

सात अलग वास्तविक शून्यकों के लिए घात कम से कम (7) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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Question Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

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

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

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 2

Why this answer is correct

The correct answer is C. (4). For four distinct real zeroes, the degree must be at least (4). Tip: the number of distinct zeroes cannot exceed the degree.

Step 3

Exam Tip

चार अलग वास्तविक शून्यकों के लिए घात कम से कम (4) होनी चाहिए। टिप: अलग शून्यकों की संख्या घात से अधिक नहीं हो सकती।

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