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100 results found for "degree-error" 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 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 Art Education Fundamentals of Visual Arts Line Class 10 Level 9

रेखा आधारित चित्र में शैली और त्रुटि को कैसे अलग करेंगे?

How will you distinguish style from error in a line-based drawing?

Explanation opens after your attempt
Correct Answer

A. शैली उद्देश्यपूर्ण होती है, त्रुटि अवलोकन की कमी से आती हैStyle is purposeful, error comes from lack of observation

Step 1

Concept

Purpose and consistency help identify style. Exam tip: look at the reason for distortion.

Step 2

Why this answer is correct

The correct answer is A. शैली उद्देश्यपूर्ण होती है, त्रुटि अवलोकन की कमी से आती है / Style is purposeful, error comes from lack of observation. Purpose and consistency help identify style. Exam tip: look at the reason for distortion.

Step 3

Exam Tip

उद्देश्य और संगति शैली को पहचानने में मदद करते हैं। परीक्षा में विकृति का कारण देखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

किस उत्तर में त्रुटि सुधार सबसे व्यावहारिक है?

Which answer is most practical for error correction?

Explanation opens after your attempt
Correct Answer

A. मुख्य आकृति पृष्ठभूमि में मिल रही है इसलिए मान विरोध बढ़ाएंMain figure merges with background so increase value contrast

Step 1

Concept

Practical correction gives both problem and solution. Exam tip: write cause plus fix in correction.

Step 2

Why this answer is correct

The correct answer is A. मुख्य आकृति पृष्ठभूमि में मिल रही है इसलिए मान विरोध बढ़ाएं / Main figure merges with background so increase value contrast. Practical correction gives both problem and solution. Exam tip: write cause plus fix in correction.

Step 3

Exam Tip

व्यावहारिक सुधार समस्या और समाधान दोनों बताता है। परीक्षा में correction में cause plus fix लिखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

यदि बेलन में छाया सपाट पट्टी जैसी है और क्रमिक नहीं है तो कौन सी त्रुटि है?

If shadow on a cylinder is like a flat band and not gradual what is the error?

Explanation opens after your attempt
Correct Answer

A. वक्र सतह की मान क्रमिकता नहीं दिखीValue gradation of curved surface is missing

Step 1

Concept

Value changes gradually on curved surface of cylinder. Exam tip: keep gradation in curved form shading.

Step 2

Why this answer is correct

The correct answer is A. वक्र सतह की मान क्रमिकता नहीं दिखी / Value gradation of curved surface is missing. Value changes gradually on curved surface of cylinder. Exam tip: keep gradation in curved form shading.

Step 3

Exam Tip

बेलन की वक्र सतह पर मान क्रमिक बदलता है। परीक्षा में curved form shading में gradation रखें।

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

यदि लकड़ी की बनावट में रेखाएं बहुत नियमित और धातु जैसी चमकदार हों तो क्या गलती होगी?

If wood texture has very regular shiny metal-like lines what error occurs?

Explanation opens after your attempt
Correct Answer

A. सामग्री पहचान गलत हो सकती हैMaterial identity may become wrong

Step 1

Concept

Wood appears grainy and irregular. Exam tip: connect texture with material observation.

Step 2

Why this answer is correct

The correct answer is A. सामग्री पहचान गलत हो सकती है / Material identity may become wrong. Wood appears grainy and irregular. Exam tip: connect texture with material observation.

Step 3

Exam Tip

लकड़ी दानेदार और अनियमित दिखती है। परीक्षा में texture को material observation से जोड़ें।

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Question Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि \(x^2+bx+12\) के शून्यक \(2+\sqrt{7}\) और \(2-\sqrt{7}\) हैं, तो त्रुटि क्या है?

If the zeroes of \(x^2+bx+12\) are \(2+\sqrt{7}\) and \(2-\sqrt{7}\), what is the error?

Explanation opens after your attempt
Correct Answer

B. गुणनफल (-3) है, इसलिए स्थिर पद (12) नहीं हो सकताProduct is (-3), so constant term cannot be (12)

Step 1

Concept

The product of these zeroes is (4-7=-3). In a monic polynomial, the constant term must equal the product.

Step 2

Why this answer is correct

The correct answer is B. गुणनफल (-3) है, इसलिए स्थिर पद (12) नहीं हो सकता / Product is (-3), so constant term cannot be (12). The product of these zeroes is (4-7=-3). In a monic polynomial, the constant term must equal the product.

Step 3

Exam Tip

इन शून्यकों का गुणनफल (4-7=-3) है। एकक बहुपद में स्थिर पद गुणनफल के बराबर होना चाहिए।

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Question Expert Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 17

कौन-सा विकल्प \(\sqrt{2}\) की अपरिमेयता के प्रमाण में सबसे गंभीर त्रुटि है?

Which option is the most serious error in the proof of irrationality of \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. \(p^2\) सम है इसलिए (p) विषम है\(p^2\) is even, so (p) is odd

Step 1

Concept

If \(p^2\) is even, then (p) must be even.

Step 2

Why this answer is correct

Calling (p) odd violates the parity rule.

Step 3

Exam Tip

In proofs, a small logical error can change the whole argument. चरण 1: \(p^2\) सम होने पर (p) सम होना चाहिए। चरण 2: (p) को विषम कहना सम-विषम नियम के विरुद्ध है। चरण 3: प्रमाण में छोटी तार्किक गलती पूरी दलील बदल सकती है।

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Question Hard Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 17

\(\sqrt{2}\) की सिद्धि में \(a^2=2b^2\) से सीधे (a=2b) लिखना किस प्रकार की गलती है?

In the proof of \(\sqrt{2}\), what type of error is directly writing (a=2b) from \(a^2=2b^2\)?

Explanation opens after your attempt
Correct Answer

A. वर्ग समीकरण से गलत मूल समीकरण निकालनाIncorrectly deriving a root-level equation from a squared equation

Step 1

Concept

(a=2b) does not directly follow from \(a^2=2b^2\).

Step 2

Why this answer is correct

The correct conclusion is that \(a^2\) is even and (a) is even.

Step 3

Exam Tip

Do not hastily make a root-level equation from a squared equation. चरण 1: \(a^2=2b^2\) से सीधे (a=2b) नहीं मिलता। चरण 2: सही निष्कर्ष है कि \(a^2\) सम है और (a) सम है। चरण 3: वर्ग समीकरण से जल्दबाजी में मूल समीकरण न बनाएं।

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Question Hard Mathematics Real Numbers Proof of irrationality of √2, √3, √5 Class 10 Level 16

यदि \(\sqrt{5}\) की सिद्धि में कोई \(p^2=5q^2\) से (p=5q) लिखता है, तो गलती किस प्रकार की है?

If someone writes (p=5q) from \(p^2=5q^2\) in the proof of \(\sqrt{5}\), what type of error is it?

Explanation opens after your attempt
Correct Answer

A. वर्ग समीकरण से मूल समीकरण गलत तरीके से निकालनाIncorrectly taking a root-level equation from a squared equation

Step 1

Concept

(p=5q) does not directly follow from \(p^2=5q^2\).

Step 2

Why this answer is correct

The correct conclusion is that \(p^2\) is divisible by (5), then (p) is divisible by (5).

Step 3

Exam Tip

Do not hastily derive a root-level equation from a squared equation. चरण 1: \(p^2=5q^2\) से सीधे (p=5q) नहीं मिलता। चरण 2: सही निष्कर्ष है कि \(p^2\) (5) से विभाज्य है और फिर (p) (5) से विभाज्य है। चरण 3: वर्ग समीकरण से जल्दबाजी में मूल समीकरण न निकालें।

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Question Expert Science World of Living Reproduction Class 10 Level 26

अत्यधिक त्रुटिपूर्ण आनुवंशिक प्रतिलिपि जीवित संतान के लिए क्यों खतरनाक हो सकती है?

Why can highly error prone genetic copying be dangerous for a living offspring?

Explanation opens after your attempt
Correct Answer

A. क्योंकि जरूरी लक्षण बिगड़ सकते हैंBecause essential traits may get disturbed

Step 1

Concept

A small error may create variation.

Step 2

Why this answer is correct

Too many errors can disturb genetic information.

Step 3

Exam Tip

Essential traits may be affected and the offspring may become weak. चरण 1: थोड़ी त्रुटि विविधता दे सकती है। चरण 2: लेकिन बहुत अधिक त्रुटि आनुवंशिक सूचना को बिगाड़ सकती है। चरण 3: इससे जरूरी कार्यों वाले लक्षण प्रभावित होकर संतान कमजोर हो सकती है।

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Question Expert Science World of Living Reproduction Class 10 Level 25

यदि आनुवंशिक पदार्थ की प्रतिलिपि में हल्की गलती हो और संतान जीवित रह सके तो इसका संभावित महत्व क्या है?

If a small error occurs while copying genetic material and the offspring survives what can be its possible importance?

Explanation opens after your attempt
Correct Answer

A. यह विविधता का स्रोत बन सकती हैIt can become a source of variation

Step 1

Concept

Genetic information passes during reproduction.

Step 2

Why this answer is correct

A small copying error can create a new difference.

Step 3

Exam Tip

If it is not harmful it can contribute to variation. चरण 1: प्रजनन में आनुवंशिक सूचना आगे जाती है। चरण 2: प्रतिलिपि की छोटी गलती नया अंतर ला सकती है। चरण 3: यदि अंतर हानिकारक न हो तो वह विविधता में योगदान दे सकता है।

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Question Hard Science World of Living Control and Coordination Class 10 Level 16

नियंत्रण और समन्वय में त्रुटि होने पर शरीर की क्रियाएं असंतुलित क्यों हो सकती हैं?

Why can body functions become disturbed if there is an error in control and coordination?

Explanation opens after your attempt
Correct Answer

A. क्योंकि संदेश पहचानने समझने या प्रतिक्रिया देने की किसी भी कड़ी में गलती पूरी क्रिया को प्रभावित कर सकती हैBecause an error in detecting interpreting or responding can affect the whole action

Step 1

Concept

Coordination includes receptor control centre and effector.

Step 2

Why this answer is correct

If any part fails correct message or response is disturbed.

Step 3

Exam Tip

Therefore body activities may become unbalanced. चरण 1: समन्वय में ग्राही नियंत्रण केंद्र और प्रभावक शामिल होते हैं। चरण 2: किसी भी भाग में गड़बड़ी हो तो सही संदेश या प्रतिक्रिया नहीं बनती। चरण 3: इसलिए शरीर की क्रियाएं असंतुलित हो सकती हैं।

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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 Expert Art Education Fundamentals of Visual Arts Line Class 10 Level 9

यदि विद्यार्थी रेखा से छाया बनाते समय प्रकाश दिशा भूल जाए तो क्या त्रुटि होगी?

What error occurs if a student forgets light direction while shading with line?

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Correct Answer

D. टोन असंगत और अविश्वसनीय लगेगाTone will look inconsistent and unbelievable

Step 1

Concept

Shading lines should follow the light source. Exam tip: decide light direction first.

Step 2

Why this answer is correct

The correct answer is D. टोन असंगत और अविश्वसनीय लगेगा / Tone will look inconsistent and unbelievable. Shading lines should follow the light source. Exam tip: decide light direction first.

Step 3

Exam Tip

छाया रेखाएं प्रकाश स्रोत के अनुसार होनी चाहिए। परीक्षा में पहले प्रकाश दिशा तय करें।

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Question Hard Art Education Fundamentals of Visual Arts Line Class 10 Level 12

किस रेखा प्रयोग से वास्तु चित्र में गलती हो सकती है?

Which line use can create error in architectural drawing?

Explanation opens after your attempt
Correct Answer

A. अनियमित कांपती रेखाओं से मुख्य दीवार बनानाMaking main wall with irregular trembling lines

Step 1

Concept

Main lines in architectural drawing should be accurate and controlled. In exams observe line control according to subject.

Step 2

Why this answer is correct

The correct answer is A. अनियमित कांपती रेखाओं से मुख्य दीवार बनाना / Making main wall with irregular trembling lines. Main lines in architectural drawing should be accurate and controlled. In exams observe line control according to subject.

Step 3

Exam Tip

वास्तु चित्र में मुख्य रेखाएं सटीक और नियंत्रित होनी चाहिए। परीक्षा में विषय के अनुसार रेखा नियंत्रण देखें।

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Question Hard Art Education Fundamentals of Visual Arts Line Class 10 Level 11

किस विकल्प में रेखा से आयतन दिखाने की त्रुटि है?

Which option shows an error in creating volume with line?

Explanation opens after your attempt
Correct Answer

A. गोल रूप पर सपाट समानांतर सीधी रेखाएंFlat parallel straight lines on a round form

Step 1

Concept

Flat lines on round form weaken volume. In exams draw lines according to surface direction.

Step 2

Why this answer is correct

The correct answer is A. गोल रूप पर सपाट समानांतर सीधी रेखाएं / Flat parallel straight lines on a round form. Flat lines on round form weaken volume. In exams draw lines according to surface direction.

Step 3

Exam Tip

गोल रूप पर सपाट रेखाएं आयतन को कमजोर करती हैं। परीक्षा में सतह की दिशा के अनुसार रेखा बनाएं।

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Question Hard Art Education Fundamentals of Visual Arts Line Class 10 Level 11

यदि किसी चित्र में समुद्र शांत है लेकिन रेखाएं तीखी जिगजैग हैं तो मुख्य त्रुटि क्या होगी?

If a sea is calm but the lines are sharp zigzags what is the main error?

Explanation opens after your attempt
Correct Answer

A. रेखा भाव विषय से मेल नहीं खा रहाLine mood does not match the subject

Step 1

Concept

Light horizontal lines suit a calm sea better. In exams choose lines according to the mood of the subject.

Step 2

Why this answer is correct

The correct answer is A. रेखा भाव विषय से मेल नहीं खा रहा / Line mood does not match the subject. Light horizontal lines suit a calm sea better. In exams choose lines according to the mood of the subject.

Step 3

Exam Tip

शांत समुद्र के लिए हल्की क्षैतिज रेखाएं अधिक उचित हैं। परीक्षा में विषय के भाव के अनुसार रेखा चुनें।

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

यदि आलोचना में केवल गलती बताई गई है पर उपाय नहीं तो क्या कमी है?

If criticism only states the error but not the solution what is lacking?

Explanation opens after your attempt
Correct Answer

D. सुधारात्मक सोचCorrective thinking

Step 1

Concept

Good criticism gives both problem and solution. Exam tip: write actionable feedback.

Step 2

Why this answer is correct

The correct answer is D. सुधारात्मक सोच / Corrective thinking. Good criticism gives both problem and solution. Exam tip: write actionable feedback.

Step 3

Exam Tip

अच्छी आलोचना समस्या और समाधान दोनों देती है। परीक्षा में actionable feedback लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

यदि हैचिंग की दिशा सतह की वक्रता से मेल नहीं खाती तो सबसे सटीक त्रुटि क्या है?

If hatching direction does not match surface curvature what is the most accurate error?

Explanation opens after your attempt
Correct Answer

A. रूप की सतह दिशा गलत पढ़ेगीSurface direction of form will read wrongly

Step 1

Concept

Hatching indicates surface direction. Exam tip: move shading marks according to form.

Step 2

Why this answer is correct

The correct answer is A. रूप की सतह दिशा गलत पढ़ेगी / Surface direction of form will read wrongly. Hatching indicates surface direction. Exam tip: move shading marks according to form.

Step 3

Exam Tip

हैचिंग सतह की दिशा का संकेत देती है। परीक्षा में shading marks को form के अनुसार चलाएं।

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

यदि सड़क दूर जाते हुए चौड़ी होती जा रही है तो कौन सा परिप्रेक्ष्य दोष है?

If a road becomes wider as it goes away what perspective error is it?

Explanation opens after your attempt
Correct Answer

A. निकट दूर आकार तर्क उलटा हैNear far size logic is reversed

Step 1

Concept

Receding objects usually look smaller or narrower. Exam tip: observe decreasing width in perspective.

Step 2

Why this answer is correct

The correct answer is A. निकट दूर आकार तर्क उलटा है / Near far size logic is reversed. Receding objects usually look smaller or narrower. Exam tip: observe decreasing width in perspective.

Step 3

Exam Tip

दूर जाती वस्तुएं सामान्यतः छोटी या संकरी दिखती हैं। परीक्षा में perspective में चौड़ाई घटती देखें।

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

यदि आकृति का अनुपात जानबूझकर असामान्य है तो उसे तुरंत गलती क्यों नहीं मानना चाहिए?

If proportion of a figure is deliberately unusual why should it not be called an error immediately?

Explanation opens after your attempt
Correct Answer

A. क्योंकि वह अभिव्यक्ति या प्रतीकात्मक जोर हो सकता हैBecause it may be expression or symbolic emphasis

Step 1

Concept

Distorted proportion can be used for expression. Exam tip: judge according to context.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि वह अभिव्यक्ति या प्रतीकात्मक जोर हो सकता है / Because it may be expression or symbolic emphasis. Distorted proportion can be used for expression. Exam tip: judge according to context.

Step 3

Exam Tip

विकृत अनुपात कभी अभिव्यक्ति के लिए होता है। परीक्षा में संदर्भ देखकर निर्णय लें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 9

यदि सड़क की रेखाएं पास आते हुए संकरी हो रही हैं तो क्या त्रुटि है?

If road lines become narrower while coming nearer what is the error?

Explanation opens after your attempt
Correct Answer

A. परिप्रेक्ष्य दिशा उलटी हैPerspective direction is reversed

Step 1

Concept

Near objects look larger and wider. Exam tip: check near far size logic.

Step 2

Why this answer is correct

The correct answer is A. परिप्रेक्ष्य दिशा उलटी है / Perspective direction is reversed. Near objects look larger and wider. Exam tip: check near far size logic.

Step 3

Exam Tip

पास वस्तुएं बड़ी और चौड़ी दिखती हैं। परीक्षा में near far size logic जांचें।

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

यदि कला आलोचना में केवल गलती बताई गई है पर समाधान नहीं तो क्या कमी है?

If art criticism only states error but not solution what is lacking?

Explanation opens after your attempt
Correct Answer

A. सुधारात्मक अनुप्रयोगCorrective application

Step 1

Concept

Good criticism gives both reason and correction. Exam tip: write problem plus solution.

Step 2

Why this answer is correct

The correct answer is A. सुधारात्मक अनुप्रयोग / Corrective application. Good criticism gives both reason and correction. Exam tip: write problem plus solution.

Step 3

Exam Tip

अच्छी आलोचना कारण और सुधार दोनों देती है। परीक्षा में problem plus solution लिखें।

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

चित्र सुधार में सबसे पहले किस प्रकार की त्रुटि पहचाननी चाहिए?

What type of error should be identified first in picture improvement?

Explanation opens after your attempt
Correct Answer

A. कौन सा तत्व संदेश या स्पष्टता को कमजोर कर रहा हैWhich element weakens message or clarity

Step 1

Concept

For improvement identify visual problem and its reason. Exam tip: keep correction answer specific.

Step 2

Why this answer is correct

The correct answer is A. कौन सा तत्व संदेश या स्पष्टता को कमजोर कर रहा है / Which element weakens message or clarity. For improvement identify visual problem and its reason. Exam tip: keep correction answer specific.

Step 3

Exam Tip

सुधार के लिए दृश्य समस्या और उसका कारण पहचानें। परीक्षा में correction answer specific रखें।

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Question Hard General Knowledge Indian Geography Physical Features of India Class 10 Level 88

हिमालयी तलहटी में भाबर तराई क्रम को गलत समझने से कौन सी त्रुटि होती है?

What error occurs if the Bhabar Terai sequence in Himalayan foothills is misunderstood?

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Correct Answer

B. भाबर को नम दलदली और तराई को कंकरीला छिद्रदार मान लेनाTreating Bhabar as moist marshy and Terai as pebbly porous

Step 1

Concept

Bhabar is a pebbly porous belt and Terai is a moist marshy belt. For exams remember their sequence and water behavior separately.

Step 2

Why this answer is correct

The correct answer is B. भाबर को नम दलदली और तराई को कंकरीला छिद्रदार मान लेना / Treating Bhabar as moist marshy and Terai as pebbly porous. Bhabar is a pebbly porous belt and Terai is a moist marshy belt. For exams remember their sequence and water behavior separately.

Step 3

Exam Tip

भाबर कंकरीला छिद्रदार क्षेत्र है और तराई नम दलदली क्षेत्र है। परीक्षा में दोनों के क्रम और जल व्यवहार को अलग अलग याद रखें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

ग्राफीय विधि में पैमाना गलत लेने से सबसे पहले किसमें गलती हो सकती है?

In graphical method, taking a wrong scale can first cause an error in what?

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Correct Answer

A. बिंदुओं को सही स्थान पर लगाने मेंPlotting points at correct positions

Step 1

Concept

A wrong scale can make point positions incorrect. So choose a clear scale before drawing the graph.

Step 2

Why this answer is correct

The correct answer is A. बिंदुओं को सही स्थान पर लगाने में / Plotting points at correct positions. A wrong scale can make point positions incorrect. So choose a clear scale before drawing the graph.

Step 3

Exam Tip

गलत पैमाना बिंदुओं की स्थिति गलत कर सकता है। इसलिए ग्राफ बनाने से पहले स्पष्ट पैमाना चुनें।

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Question Expert Science World of Living Reproduction Class 10 Level 25

बहुत अधिक सटीक प्रतिलिपि और बहुत अधिक त्रुटिपूर्ण प्रतिलिपि दोनों में समस्या क्यों हो सकती है?

Why can both extremely accurate copying and highly error prone copying be problematic?

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Correct Answer

A. पहली विविधता घटाती है और दूसरी हानिकारक बदलाव बढ़ा सकती हैThe first reduces variation and the second can increase harmful changes

Step 1

Concept

Accurate copying preserves useful traits but reduces variation.

Step 2

Why this answer is correct

Small errors can create variation.

Step 3

Exam Tip

Too many errors can damage essential traits. चरण 1: सटीक प्रतिलिपि उपयोगी गुण बचाती है पर विविधता कम करती है। चरण 2: थोड़ी गलती विविधता दे सकती है। चरण 3: बहुत अधिक गलती जरूरी लक्षणों को बिगाड़ सकती है।

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

आनुवंशिक पदार्थ की नकल में हुई छोटी त्रुटि हमेशा हानिकारक क्यों नहीं होती?

Why is a small error during copying of genetic material not always harmful?

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Correct Answer

A. क्योंकि कभी कभी वह सामान्य या लाभदायक भिन्नता भी दे सकती हैBecause sometimes it may produce a neutral or useful variation

Step 1

Concept

Small copying changes can produce variation.

Step 2

Why this answer is correct

Every variation is not harmful.

Step 3

Exam Tip

Some variations may even give advantage in an environment. चरण 1: नकल में छोटे बदलाव भिन्नता पैदा कर सकते हैं। चरण 2: हर भिन्नता हानिकारक नहीं होती। चरण 3: कुछ भिन्नताएं वातावरण में लाभ भी दे सकती हैं।

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

आनुवंशिक पदार्थ की नकल में त्रुटि का एक संभावित परिणाम क्या हो सकता है?

What can be one possible result of an error in copying genetic material?

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Correct Answer

A. भिन्नताVariation

Step 1

Concept

Genetic material is copied during reproduction.

Step 2

Why this answer is correct

A small copying error can produce a new difference.

Step 3

Exam Tip

This difference may appear as variation. चरण 1: आनुवंशिक पदार्थ की नकल प्रजनन में बनती है। चरण 2: नकल में छोटी त्रुटि नया अंतर पैदा कर सकती है। चरण 3: यही अंतर भिन्नता के रूप में दिख सकता है।

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Question Expert Science World of Living Control and Coordination Class 10 Level 16

नियंत्रण और समन्वय की किसी भी कड़ी में त्रुटि पूरी प्रतिक्रिया को क्यों बदल सकती है?

Why can an error in any link of control and coordination change the whole response?

Explanation opens after your attempt
Correct Answer

A. क्योंकि पहचान संदेश विश्लेषण और प्रतिक्रिया सभी एक श्रृंखला की तरह जुड़े हैंBecause detection message interpretation and response are linked like a chain

Step 1

Concept

First stimulus is detected.

Step 2

Why this answer is correct

Then the message is interpreted and command is formed.

Step 3

Exam Tip

Finally effector responds so error in any link can change the whole action. चरण 1: पहले उत्तेजना पहचानी जाती है। चरण 2: फिर संदेश का विश्लेषण और आदेश बनता है। चरण 3: अंत में प्रभावक प्रतिक्रिया देता है इसलिए किसी भी कड़ी की गलती पूरी क्रिया बदल सकती है।

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

समीकरण संतुलित करते समय छोटे अंक बदलना गंभीर त्रुटि क्यों माना जाता है?

Why is changing subscripts considered a serious error while balancing an equation?

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Correct Answer

A. क्योंकि इससे पदार्थ की रचना और पहचान बदलती हैBecause it changes composition and identity of the substance

Step 1

Concept

Subscripts show atomic ratio in a formula.

Step 2

Why this answer is correct

Changing them changes the substance itself.

Step 3

Exam Tip

Therefore coefficients are changed for balancing. चरण 1: छोटे अंक सूत्र में परमाणुओं का अनुपात बताते हैं। चरण 2: इन्हें बदलने से वही पदार्थ नहीं रहता। चरण 3: इसलिए संतुलन में गुणांक बदले जाते हैं।

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Question Hard Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 4

समीकरण संतुलित करते समय किसी यौगिक के छोटे अंक बदलने से क्या मुख्य गलती होती है?

What is the main error caused by changing subscripts of a compound while balancing an equation?

Explanation opens after your attempt
Correct Answer

C. पदार्थ की पहचान बदल जाती हैIdentity of the substance changes

Step 1

Concept

Subscripts show the real composition of a chemical formula.

Step 2

Why this answer is correct

Changing them means the substance is no longer the same.

Step 3

Exam Tip

Therefore only coefficients should be changed while balancing. चरण 1: छोटे अंक रासायनिक सूत्र की वास्तविक रचना बताते हैं। चरण 2: इन्हें बदलने से वही पदार्थ नहीं रहता। चरण 3: इसलिए संतुलन में केवल गुणांक बदलने चाहिए।

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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)?

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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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