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Mathematics Quiz - Class 10 Mathematics Polynomials Polyn...

Question 1/50 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 2/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?

In the polynomial \(4x^3-2x^2+7x-9\), what is the sum of the coefficient of \(x^2\) and the constant term?

Explanation opens after your attempt

Correct Answer

A. (-11)

Step 1

Concept

The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 2

Why this answer is correct

The correct answer is A. (-11). The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 3

Exam Tip

\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है।

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Question 3/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (q(x)=x^-2-kx+6) और (q(2)=0), तो (k) का मान क्या है?

If (q(x)=x^-2-kx+6) and (q(2)=0), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

(q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).

Step 2

Why this answer is correct

The correct answer is C. (5). (q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).

Step 3

Exam Tip

(q(2)=4-2k+6=0) से (10-2k=0) मिलता है। इसलिए (k=5) है।

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Question 4/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा व्यंजक (x) में बहुपद नहीं है?

Which of the following expression is not a polynomial in (x)?

Explanation opens after your attempt

Correct Answer

D. \(x^2+\frac{4}{x}+1\)

Step 1

Concept

\(\frac{4}{x}=4x^{-1}\) has a negative power of the variable. In a polynomial, powers of the variable must be whole numbers.

Step 2

Why this answer is correct

The correct answer is D. \(x^2+\frac{4}{x}+1\). \(\frac{4}{x}=4x^{-1}\) has a negative power of the variable. In a polynomial, powers of the variable must be whole numbers.

Step 3

Exam Tip

\(\frac{4}{x}=4x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में चर की घातें पूर्ण संख्याएँ होनी चाहिए।

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Question 5/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x^-3+mx^-2-x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?

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

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).

Step 2

Why this answer is correct

The correct answer is B. (-5). The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).

Step 3

Exam Tip

\(x^2\) के साथ लगा गुणक (m) है। दिया है (m=-5), इसलिए उत्तर (-5) है।

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Question 6/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?

What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).

Step 2

Why this answer is correct

The correct answer is C. (0). There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।

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Question 7/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (f(x)=x^-2+2x-8), तो निम्न में से कौन (f(x)) का शून्य है?

If (f(x)=x^-2+2x-8), which of the following is a zero of (f(x))?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

(f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.

Step 3

Exam Tip

(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है।

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Question 8/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=3x^-2-2x+1), तो (p(2)-p(1)) का मान क्या है?

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

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

(p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).

Step 2

Why this answer is correct

The correct answer is B. (6). (p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).

Step 3

Exam Tip

(p(2)=9) और (p(1)=3) है। इसलिए (p(2)-p(1)=6) है।

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Question 9/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि \(2x^2+5x-3\) को अवरोही घातों में लिखा जाए, तो प्रमुख पद कौन सा है?

If \(2x^2+5x-3\) is written in descending powers, which is the leading term?

Explanation opens after your attempt

Correct Answer

A. \(2x^2\)

Step 1

Concept

The term with highest power (2) is \(2x^2\). The leading term is always the full term with the greatest power.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2\). The term with highest power (2) is \(2x^2\). The leading term is always the full term with the greatest power.

Step 3

Exam Tip

सबसे बड़ी घात (2) वाला पद \(2x^2\) है। प्रमुख पद हमेशा सबसे बड़ी घात वाला पूरा पद होता है।

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Question 10/50 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 11/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद में (x) का गुणांक (0) है?

In which of the following polynomials is the coefficient of (x) equal to (0)?

Explanation opens after your attempt

Correct Answer

B. \(3x^2-4\)

Step 1

Concept

In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^2-4\). In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 3

Exam Tip

\(3x^2-4\) में (x) का पद नहीं है। इसलिए (x) का गुणांक (0) है।

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Question 12/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (r(x)=x^-3-4x), तो (r(-2)) का मान क्या है?

If (r(x)=x^-3-4x), what is the value of (r(-2))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(r(-2)=(-2)³-4(-2)=-8+8=0). Brackets are important for negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (r(-2)=(-2)³-4(-2)=-8+8=0). Brackets are important for negative values.

Step 3

Exam Tip

(r(-2)=(-2)³-4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।

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Question 13/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा कथन \(5x^2-3x+7\) के लिए सही है?

Which statement is correct for \(5x^2-3x+7\)?

Explanation opens after your attempt

Correct Answer

B. यह द्विघात बहुपद हैIt is a quadratic polynomial

Step 1

Concept

The highest power of (x) is (2). Therefore it is a quadratic polynomial.

Step 2

Why this answer is correct

The correct answer is B. यह द्विघात बहुपद है / It is a quadratic polynomial. The highest power of (x) is (2). Therefore it is a quadratic polynomial.

Step 3

Exam Tip

इसमें (x) की सबसे बड़ी घात (2) है। इसलिए यह द्विघात बहुपद है।

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Question 14/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?

If (3) is a zero of (p(x)=kx+12), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

B. (-4)

Step 1

Concept

From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 3

Exam Tip

(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।

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Question 15/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(x^4-6x^2+9\) में कितने गैर-शून्य पद हैं?

How many non-zero terms are there in \(x^4-6x^2+9\)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

The non-zero terms are \(x^4\), \(-6x^2\), and (9). So there are (3) non-zero terms.

Step 2

Why this answer is correct

The correct answer is B. (3). The non-zero terms are \(x^4\), \(-6x^2\), and (9). So there are (3) non-zero terms.

Step 3

Exam Tip

गैर-शून्य पद \(x^4\), \(-6x^2\) और (9) हैं। इसलिए कुल (3) गैर-शून्य पद हैं।

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Question 16/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

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

If (p(x)=x^-2+ax+a) and (p(1)=5), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

(p(1)=1+a+a=5) gives (1+2a=5). Therefore (a=2).

Step 2

Why this answer is correct

The correct answer is B. (2). (p(1)=1+a+a=5) gives (1+2a=5). Therefore (a=2).

Step 3

Exam Tip

(p(1)=1+a+a=5) से (1+2a=5) मिलता है। इसलिए (a=2) है।

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Question 17/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2-9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?

If (p(x)=x^-2-9), which number is not a zero of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

(p(0)=0²-9=-9), which is not (0). So (0) is not a zero.

Step 2

Why this answer is correct

The correct answer is C. (0). (p(0)=0²-9=-9), which is not (0). So (0) is not a zero.

Step 3

Exam Tip

(p(0)=0²-9=-9) है जो (0) नहीं है। इसलिए (0) शून्य नहीं है।

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Question 18/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(3x^4-5x^2+2x-8\) का प्रमुख गुणांक क्या है?

What is the leading coefficient of \(3x^4-5x^2+2x-8\)?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The leading term is \(3x^4\). Therefore the leading coefficient is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The leading term is \(3x^4\). Therefore the leading coefficient is (3).

Step 3

Exam Tip

प्रमुख पद \(3x^4\) है। इसलिए प्रमुख गुणांक (3) है।

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Question 19/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x^-2-7x+3), तो (p(3)) का मान क्या है?

If (p(x)=2x^-2-7x+3), what is the value of (p(3))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(p(3)=2(3)²-7(3)+3=18-21+3=0). Hence (3) is its zero.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(3)=2(3)²-7(3)+3=18-21+3=0). Hence (3) is its zero.

Step 3

Exam Tip

(p(3)=2(3)²-7(3)+3=18-21+3=0) है। अतः (3) इसका शून्य है।

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Question 20/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि \(x^3+2x^2+cx+5\) में (x) का गुणांक (6) है, तो (c+5) क्या होगा?

If the coefficient of (x) in \(x^3+2x^2+cx+5\) is (6), what will be (c+5)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The coefficient of (x) is (c=6). Therefore (c+5=11).

Step 2

Why this answer is correct

The correct answer is C. (11). The coefficient of (x) is (c=6). Therefore (c+5=11).

Step 3

Exam Tip

(x) का गुणांक (c=6) है। इसलिए (c+5=11) होगा।

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Question 21/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा बहुपद नियत बहुपद नहीं है?

Which of the following is not a constant polynomial?

Explanation opens after your attempt

Correct Answer

D. (2x+1)

Step 1

Concept

(2x+1) contains the variable (x), so it is not a constant polynomial. A constant polynomial has no variable term.

Step 2

Why this answer is correct

The correct answer is D. (2x+1). (2x+1) contains the variable (x), so it is not a constant polynomial. A constant polynomial has no variable term.

Step 3

Exam Tip

(2x+1) में चर (x) है इसलिए यह नियत बहुपद नहीं है। नियत बहुपद में चर वाला पद नहीं होता।

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Question 22/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

(p(x)=x^-2+4x+4) के लिए निम्न में से कौन सा सत्य है?

Which of the following is true for (p(x)=x^-2+4x+4)?

Explanation opens after your attempt

Correct Answer

A. (p(-2)=0)

Step 1

Concept

(p(-2)=4-8+4=0). Therefore (-2) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (p(-2)=0). (p(-2)=4-8+4=0). Therefore (-2) is a zero of this polynomial.

Step 3

Exam Tip

(p(-2)=4-8+4=0) है। इसलिए (-2) इस बहुपद का शून्य है।

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Question 23/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=5x^-2-3x+2), तो (p(0)+p(1)) का मान क्या है?

If (p(x)=5x^-2-3x+2), what is the value of (p(0)+p(1))?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

(p(0)=2) and (p(1)=4). Therefore the sum is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). (p(0)=2) and (p(1)=4). Therefore the sum is (6).

Step 3

Exam Tip

(p(0)=2) और (p(1)=4) है। इसलिए योग (6) है।

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Question 24/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प \(x^2-5x+6\) को पदों के सही समूह के रूप में दिखाता है?

Which option shows the correct group of terms of \(x^2-5x+6\)?

Explanation opens after your attempt

Correct Answer

A. \(x^2\), (-5x), (6)

Step 1

Concept

The terms with signs are \(x^2\), (-5x), and (6). Keep the negative sign with the term while identifying terms.

Step 2

Why this answer is correct

The correct answer is A. \(x^2\), (-5x), (6). The terms with signs are \(x^2\), (-5x), and (6). Keep the negative sign with the term while identifying terms.

Step 3

Exam Tip

चिह्न सहित पद \(x^2\), (-5x) और (6) हैं। पद पहचानते समय ऋण चिह्न साथ रखें।

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Question 25/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-3+ax^-2+bx+1) में (a=0) और (b=-2), तो बहुपद क्या होगा?

If (a=0) and (b=-2) in (p(x)=x^-3+ax^-2+bx+1), what will the polynomial be?

Explanation opens after your attempt

Correct Answer

A. \(x^3-2x+1\)

Step 1

Concept

With (a=0), the \(x^2\) term vanishes, and with (b=-2), we get (-2x). So the polynomial is \(x^3-2x+1\).

Step 2

Why this answer is correct

The correct answer is A. \(x^3-2x+1\). With (a=0), the \(x^2\) term vanishes, and with (b=-2), we get (-2x). So the polynomial is \(x^3-2x+1\).

Step 3

Exam Tip

(a=0) से \(x^2\) पद हटता है और (b=-2) से (-2x) मिलता है। इसलिए बहुपद \(x^3-2x+1\) है।

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Question 26/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा बहुपद (x) में है लेकिन (y) में नहीं है?

Which of the following is a polynomial in (x) but not in (y)?

Explanation opens after your attempt

Correct Answer

A. \(x^2+3x+1\)

Step 1

Concept

\(x^2+3x+1\) has only the variable (x). So it is a one-variable polynomial in (x).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+3x+1\). \(x^2+3x+1\) has only the variable (x). So it is a one-variable polynomial in (x).

Step 3

Exam Tip

\(x^2+3x+1\) में केवल (x) चर है। इसलिए यह (x) में एक चर वाला बहुपद है।

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Question 27/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=4x-12), तो किस मान पर (p(x)=0) होगा?

If (p(x)=4x-12), for which value will (p(x)=0)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is B. (3). From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.

Step 3

Exam Tip

(4x-12=0) से (4x=12) और (x=3) मिलता है। यह बहुपद का शून्य है।

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Question 28/50 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 29/50 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 30/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2+x+1), तो (p(-1)) का मान क्या है?

If (p(x)=x^-2+x+1), what is the value of (p(-1))?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

(p(-1)=(-1)²+(-1)+1=1). Add the signs carefully.

Step 2

Why this answer is correct

The correct answer is B. (1). (p(-1)=(-1)²+(-1)+1=1). Add the signs carefully.

Step 3

Exam Tip

(p(-1)=(-1)²+(-1)+1=1) है। चिह्नों को सावधानी से जोड़ें।

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Question 31/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

किस विकल्प में बहुपद \(6x^3+0x^2-2x+9\) को सरल रूप में सही लिखा गया है?

Which option correctly writes \(6x^3+0x^2-2x+9\) in simplified form?

Explanation opens after your attempt

Correct Answer

A. \(6x^3-2x+9\)

Step 1

Concept

The value of \(0x^2\) is (0), so that term vanishes. The remaining terms stay unchanged.

Step 2

Why this answer is correct

The correct answer is A. \(6x^3-2x+9\). The value of \(0x^2\) is (0), so that term vanishes. The remaining terms stay unchanged.

Step 3

Exam Tip

\(0x^2\) का मान (0) है इसलिए वह पद हट जाता है। बाकी पद जैसे हैं वैसे रहते हैं।

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Question 32/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2-3x+2), तो (p(1)) और (p(2)) के बारे में सही कथन कौन सा है?

If (p(x)=x^-2-3x+2), which statement about (p(1)) and (p(2)) is correct?

Explanation opens after your attempt

Correct Answer

A. दोनों (0) हैंBoth are (0)

Step 1

Concept

(p(1)=1-3+2=0) and (p(2)=4-6+2=0). So both are zeros.

Step 2

Why this answer is correct

The correct answer is A. दोनों (0) हैं / Both are (0). (p(1)=1-3+2=0) and (p(2)=4-6+2=0). So both are zeros.

Step 3

Exam Tip

(p(1)=1-3+2=0) और (p(2)=4-6+2=0) है। इसलिए दोनों शून्य हैं।

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Question 33/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद में प्रमुख गुणांक (1) नहीं है?

Which of the following polynomials does not have leading coefficient (1)?

Explanation opens after your attempt

Correct Answer

C. \(3x^2+x+1\)

Step 1

Concept

The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).

Step 2

Why this answer is correct

The correct answer is C. \(3x^2+x+1\). The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).

Step 3

Exam Tip

\(3x^2+x+1\) का प्रमुख पद \(3x^2\) है। इसका प्रमुख गुणांक (3) है, (1) नहीं।

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Question 34/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x^-2+bx-10) और (p(2)=4), तो (b) का मान क्या है?

If (p(x)=2x^-2+bx-10) and (p(2)=4), what is the value of (b)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

(p(2)=8+2b-10=4) gives (2b-2=4). Therefore (b=3).

Step 2

Why this answer is correct

The correct answer is C. (3). (p(2)=8+2b-10=4) gives (2b-2=4). Therefore (b=3).

Step 3

Exam Tip

(p(2)=8+2b-10=4) से (2b-2=4) मिलता है। इसलिए (b=3) है।

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Question 35/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प \(x^3-1\) के प्रकार को सही बताता है?

Which option correctly describes the type of \(x^3-1\)?

Explanation opens after your attempt

Correct Answer

C. त्रिघात द्विपदीCubic binomial

Step 1

Concept

\(x^3-1\) has degree (3) and (2) terms. So it is a cubic binomial.

Step 2

Why this answer is correct

The correct answer is C. त्रिघात द्विपदी / Cubic binomial. \(x^3-1\) has degree (3) and (2) terms. So it is a cubic binomial.

Step 3

Exam Tip

\(x^3-1\) की घात (3) है और इसमें (2) पद हैं। इसलिए यह त्रिघात द्विपदी है।

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Question 36/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2+5x+c) में नियत पद (-6) है, तो (p(0)) क्या होगा?

If the constant term in (p(x)=x^-2+5x+c) is (-6), what will (p(0)) be?

Explanation opens after your attempt

Correct Answer

B. (-6)

Step 1

Concept

(p(0)) is always equal to the constant term. Here the constant term is (-6).

Step 2

Why this answer is correct

The correct answer is B. (-6). (p(0)) is always equal to the constant term. Here the constant term is (-6).

Step 3

Exam Tip

(p(0)) हमेशा नियत पद के बराबर होता है। यहाँ नियत पद (-6) है।

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Question 37/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा (t) में बहुपद है?

Which of the following is a polynomial in (t)?

Explanation opens after your attempt

Correct Answer

C. \(4t^3-\frac{1}{2}t+7\)

Step 1

Concept

In \(4t^3-\frac{1}{2}t+7\), the powers of (t) are (3), (1), and (0). All are whole numbers.

Step 2

Why this answer is correct

The correct answer is C. \(4t^3-\frac{1}{2}t+7\). In \(4t^3-\frac{1}{2}t+7\), the powers of (t) are (3), (1), and (0). All are whole numbers.

Step 3

Exam Tip

\(4t^3-\frac{1}{2}t+7\) में (t) की घातें (3), (1) और (0) हैं। ये सभी पूर्ण संख्याएँ हैं।

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Question 38/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2-2x+3), तो (p(2)+p(-1)) का मान क्या है?

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

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

(p(2)=3) and (p(-1)=6). Therefore the sum is (9).

Step 2

Why this answer is correct

The correct answer is B. (9). (p(2)=3) and (p(-1)=6). Therefore the sum is (9).

Step 3

Exam Tip

(p(2)=3) और (p(-1)=6) है। इसलिए योग (9) है।

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Question 39/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि \(a\neq0\), तो (ax+b) के बारे में सही कथन कौन सा है?

If \(a\neq0\), which statement is correct about (ax+b)?

Explanation opens after your attempt

Correct Answer

B. यह रैखिक बहुपद हैIt is a linear polynomial

Step 1

Concept

When \(a\neq0\), the (x)-term is present. So (ax+b) has degree (1).

Step 2

Why this answer is correct

The correct answer is B. यह रैखिक बहुपद है / It is a linear polynomial. When \(a\neq0\), the (x)-term is present. So (ax+b) has degree (1).

Step 3

Exam Tip

\(a\neq0\) होने पर (x) का पद मौजूद रहता है। इसलिए (ax+b) की घात (1) होती है।

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Question 40/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(2x^4+3x^2-5x+7\) में \(x^3\) के गुणांक और (x) के गुणांक का योग क्या है?

In \(2x^4+3x^2-5x+7\), what is the sum of the coefficient of \(x^3\) and the coefficient of (x)?

Explanation opens after your attempt

Correct Answer

A. (-5)

Step 1

Concept

The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).

Step 3

Exam Tip

\(x^3\) का गुणांक (0) और (x) का गुणांक (-5) है। योग (-5) है।

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Question 41/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=3x^-2+2x-1), तो (p\left\(\frac{1}{3}\right\)) का मान क्या है?

If (p(x)=3x^-2+2x-1), what is the value of (p\left\(\frac{1}{3}\right\))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)²+2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.

Step 2

Why this answer is correct

The correct answer is A. (0). (p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)²+2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.

Step 3

Exam Tip

(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)²+2\left\(\frac{1}{3}\right\)-1=0) है। भिन्न रखते समय कोष्ठक लगाएँ।

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Question 42/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प बहुपद \(8-3x+2x^2\) को अवरोही घातों में सही लिखता है?

Which option correctly writes the polynomial \(8-3x+2x^2\) in descending powers?

Explanation opens after your attempt

Correct Answer

A. \(2x^2-3x+8\)

Step 1

Concept

In descending order, the term with greater power comes first. So the correct form is \(2x^2-3x+8\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-3x+8\). In descending order, the term with greater power comes first. So the correct form is \(2x^2-3x+8\).

Step 3

Exam Tip

अवरोही क्रम में बड़ी घात वाला पद पहले आता है। इसलिए सही रूप \(2x^2-3x+8\) है।

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Question 43/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2+px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?

If (4) is a zero of (p(x)=x^-2+px+16), what is the value of (p)?

Explanation opens after your attempt

Correct Answer

A. (-8)

Step 1

Concept

\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 2

Why this answer is correct

The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 3

Exam Tip

\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।

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Question 44/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा कथन शून्य बहुपद के लिए सही है?

Which statement is correct for the zero polynomial?

Explanation opens after your attempt

Correct Answer

C. इसकी घात परिभाषित नहीं होतीIts degree is not defined

Step 1

Concept

The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 2

Why this answer is correct

The correct answer is C. इसकी घात परिभाषित नहीं होती / Its degree is not defined. The degree of the zero polynomial is not defined. A non-zero constant polynomial has degree (0).

Step 3

Exam Tip

शून्य बहुपद की घात परिभाषित नहीं होती। गैर-शून्य नियत बहुपद की घात (0) होती है।

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Question 45/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-3-2x^-2+x), तो (p(1)) का मान क्या है?

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

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 3

Exam Tip

(p(1)=1-2+1=0) है। इसलिए (1) इस बहुपद का शून्य है।

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Question 46/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x^-2+3x+4), तो (p(-1)) और (p(0)) का अंतर (p(-1)-p(0)) क्या है?

If (p(x)=2x^-2+3x+4), what is the difference (p(-1)-p(0))?

Explanation opens after your attempt

Correct Answer

A. (-1)

Step 1

Concept

(p(-1)=3) and (p(0)=4). Therefore (p(-1)-p(0)=-1).

Step 2

Why this answer is correct

The correct answer is A. (-1). (p(-1)=3) and (p(0)=4). Therefore (p(-1)-p(0)=-1).

Step 3

Exam Tip

(p(-1)=3) और (p(0)=4) है। इसलिए (p(-1)-p(0)=-1) है।

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Question 47/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(x^2+\sqrt{5}x-7\) के बारे में सही कथन कौन सा है?

Which statement is correct about \(x^2+\sqrt{5}x-7\)?

Explanation opens after your attempt

Correct Answer

B. यह (x) में बहुपद हैIt is a polynomial in (x)

Step 1

Concept

\(\sqrt{5}\) is a real coefficient and the powers of (x) are whole numbers. So it is a polynomial in (x).

Step 2

Why this answer is correct

The correct answer is B. यह (x) में बहुपद है / It is a polynomial in (x). \(\sqrt{5}\) is a real coefficient and the powers of (x) are whole numbers. So it is a polynomial in (x).

Step 3

Exam Tip

\(\sqrt{5}\) वास्तविक गुणांक है और (x) की घातें पूर्ण संख्याएँ हैं। इसलिए यह (x) में बहुपद है।

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Question 48/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x^-2-ax+12) और (p(3)=0), तो (a) का मान क्या है?

If (p(x)=x^-2-ax+12) and (p(3)=0), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

(9-3a+12=0) gives (21-3a=0). Therefore (a=7).

Step 2

Why this answer is correct

The correct answer is C. (7). (9-3a+12=0) gives (21-3a=0). Therefore (a=7).

Step 3

Exam Tip

(9-3a+12=0) से (21-3a=0) मिलता है। इसलिए (a=7) है।

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Question 49/50 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 50/50 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax^-3+bx^-2+cx+d) और (p(0)=-7), तो (d) का मान क्या है?

If (p(x)=ax^-3+bx^-2+cx+d) and (p(0)=-7), what is the value of (d)?

Explanation opens after your attempt

Correct Answer

B. (-7)

Step 1

Concept

Putting (x=0) gives (p(0)=d). Therefore (d=-7).

Step 2

Why this answer is correct

The correct answer is B. (-7). Putting (x=0) gives (p(0)=d). Therefore (d=-7).

Step 3

Exam Tip

(x=0) रखने पर (p(0)=d) मिलता है। इसलिए (d=-7) है।

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Class 10 Mathematics - Polynomials - Polynomials in one variable Medium Quiz

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

Concept

Why this answer is correct

Exam Tip

बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (q(x)=x-2-kx+6) और (q(2)=0), तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

निम्न में से कौन सा व्यंजक (x) में बहुपद नहीं है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=2x-3+mx-2-x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?

Concept

Why this answer is correct

Exam Tip

बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2+2x-8), तो निम्न में से कौन (f(x)) का शून्य है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=3x-2-2x+1), तो (p(2)-p(1)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(2x^2+5x-3\) को अवरोही घातों में लिखा जाए, तो प्रमुख पद कौन सा है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

निम्न में से किस बहुपद में (x) का गुणांक (0) है?

Concept

Why this answer is correct

Exam Tip

यदि (r(x)=x-3-4x), तो (r(-2)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

कौन सा कथन \(5x^2-3x+7\) के लिए सही है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\(x^4-6x^2+9\) में कितने गैर-शून्य पद हैं?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=x-2+ax+a) और (p(1)=5), तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=x-2-9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?

Concept

Why this answer is correct

Exam Tip

बहुपद \(3x^4-5x^2+2x-8\) का प्रमुख गुणांक क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=2x-2-7x+3), तो (p(3)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(x^3+2x^2+cx+5\) में (x) का गुणांक (6) है, तो (c+5) क्या होगा?

Concept

Why this answer is correct

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

यदि (q(x)=x^-2-kx+6) और (q(2)=0), तो (k) का मान क्या है?

यदि (p(x)=2x^-3+mx^-2-x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?

यदि (f(x)=x^-2+2x-8), तो निम्न में से कौन (f(x)) का शून्य है?

यदि (p(x)=3x^-2-2x+1), तो (p(2)-p(1)) का मान क्या है?

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

यदि (r(x)=x^-3-4x), तो (r(-2)) का मान क्या है?

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

यदि (p(x)=x^-2-9), तो कौन सी संख्या (p(x)) का शून्य नहीं है?

यदि (p(x)=2x^-2-7x+3), तो (p(3)) का मान क्या है?

(p(x)=x^-2+4x+4) के लिए निम्न में से कौन सा सत्य है?

यदि (p(x)=5x^-2-3x+2), तो (p(0)+p(1)) का मान क्या है?

यदि (p(x)=x^-3+ax^-2+bx+1) में (a=0) और (b=-2), तो बहुपद क्या होगा?

यदि (p(x)=x^-2+x+1), तो (p(-1)) का मान क्या है?

यदि (p(x)=x^-2-3x+2), तो (p(1)) और (p(2)) के बारे में सही कथन कौन सा है?

यदि (p(x)=2x^-2+bx-10) और (p(2)=4), तो (b) का मान क्या है?

यदि (p(x)=x^-2+5x+c) में नियत पद (-6) है, तो (p(0)) क्या होगा?

यदि (p(x)=x^-2-2x+3), तो (p(2)+p(-1)) का मान क्या है?