Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 201-210 of 600 questions.
If (p(x)=ax-2+3x+5) has degree (1), what will be the value of (a)?
A. (0)
घात (1) होने के लिए \(x^2\) का गुणांक (0) होना चाहिए। इसलिए (a=0) है। / For degree (1), the coefficient of \(x^2\) must be (0). Therefore (a=0).
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A. (-11)
\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है। / The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).
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If (q(x)=x-2-kx+6) and (q(2)=0), what is the value of (k)?
C. (5)
(q(2)=4-2k+6=0) से (10-2k=0) मिलता है। इसलिए (k=5) है। / (q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).
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Which of the following expression is not a polynomial in (x)?
D. \(x^2+\frac{4}{x}+1\)
\(\frac{4}{x}=4x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में चर की घातें पूर्ण संख्याएँ होनी चाहिए। / \(\frac{4}{x}=4x^{-1}\) has a negative power of the variable. In a polynomial, powers of the variable must be whole numbers.
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If the coefficient of \(x^2\) in (p(x)=2x-3+mx-2-x+4) is (-5), what is (m)?
B. (-5)
\(x^2\) के साथ लगा गुणक (m) है। दिया है (m=-5), इसलिए उत्तर (-5) है। / The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).
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What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?
C. (0)
इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है। / There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
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If (f(x)=x-2+2x-8), which of the following is a zero of (f(x))?
B. (2)
(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है। / (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.
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If (p(x)=3x-2-2x+1), what is the value of (p(2)-p(1))?
B. (6)
(p(2)=9) और (p(1)=3) है। इसलिए (p(2)-p(1)=6) है। / (p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).
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If \(2x^2+5x-3\) is written in descending powers, which is the leading term?
A. \(2x^2\)
सबसे बड़ी घात (2) वाला पद \(2x^2\) है। प्रमुख पद हमेशा सबसे बड़ी घात वाला पूरा पद होता है। / The term with highest power (2) is \(2x^2\). The leading term is always the full term with the greatest power.
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For which value will (p(x)=(a-2)x-3+4x-2+1) have degree (2)?
C. (a=2)
घात (2) के लिए \(x^3\) का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है। / For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).
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