Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 481-490 of 700 questions.
Which expression is a constant polynomial in (x)?
A. \(3y^2-5y+1\)
(x) के संदर्भ में \(3y^2-5y+1\) में कोई (x) पद नहीं है। इसलिए यह (x) में नियतांक बहुपद माना जा सकता है। / With respect to (x), \(3y^2-5y+1\) has no (x) term. So it can be treated as a constant polynomial in (x).
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Which statement is correct for \(\frac{x^3}{4}-\sqrt{6}x+10\)?
B. यह बहुपद है और डिग्री (3) हैIt is a polynomial and degree is (3)
भिन्न और अपरिमेय वास्तविक गुणांक बहुपद में मान्य हैं। सबसे बड़ी घात (3) है। / Fractional and irrational real coefficients are valid in a polynomial. The highest power is (3).
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In which option are all coefficients real and powers of (x) valid?
A. \(2x^3-\pi x^2+\sqrt{13}\)
\(\pi\) और \(\sqrt{13}\) वास्तविक गुणांक हैं। (x) की घातें (3), (2), और (0) हैं। / \(\pi\) and \(\sqrt{13}\) are real coefficients. The powers of (x) are (3), (2), and (0).
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If (q(x)=x-4+x^{\frac{1}{2}}+1), why is (q(x)) not a polynomial?
C. क्योंकि \(x^{\frac{1}{2}}\) की घात भिन्न हैBecause \(x^{\frac{1}{2}}\) has a fractional power
\(x^{\frac{1}{2}}\) में चर की घात भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती। / In \(x^{\frac{1}{2}}\), the variable has a fractional power. Such a power is not valid in a polynomial.
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When will ((u-5)x-3+(u-5)x-2+7) become a constant polynomial?
A. जब (u=5)When (u=5)
नियतांक बनने के लिए \(x^3\) और \(x^2\) दोनों के गुणांक (0) चाहिए। (u-5=0) से दोनों पद हट जाते हैं। / To become constant, the coefficients of both \(x^3\) and \(x^2\) must be (0). From (u-5=0), both terms disappear.
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Which expression is a polynomial whose degree is greater than (2)?
C. \(x^5-3x+2\)
\(x^5-3x+2\) बहुपद है और इसकी डिग्री (5) है। (5), (2) से अधिक है। / \(x^5-3x+2\) is a polynomial and its degree is (5). (5) is greater than (2).
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In \(7x^5-4x^3+8\), what are the coefficients of \(x^4\), \(x^2\), and (x)?
B. (0), (0), और (0)(0), (0), and (0)
इन तीनों घातों वाले पद बहुपद में अनुपस्थित हैं। इसलिए इनके गुणांक (0), (0), और (0) हैं। / The terms with these three powers are absent in the polynomial. Therefore their coefficients are (0), (0), and (0).
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If (r=2), what will be the degree of (\(r^2-4\)x-5+(r-1)x-4+x)?
B. (4)
(r=2) पर \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक (1) होता है। इसलिए डिग्री (4) है। / For (r=2), the coefficient of \(x^5\) is (0) and the coefficient of \(x^4\) is (1). Therefore the degree is (4).
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Which expression is not the zero polynomial in (x)?
C. \(x^0-1\)
\(x^0-1=1-1=0\) है, इसलिए यह भी शून्य बहुपद है? ध्यान दें कि विकल्प (C) शून्य ही है। / \(x^0-1=1-1=0\), so this is also the zero polynomial. Check simplification before choosing.
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Which option has degree (3) and a negative leading coefficient?
B. \(-6x^3+x^2-5\)
\(-6x^3+x^2-5\) की डिग्री (3) है और अग्रणी गुणांक (-6) है। इसलिए यह सही विकल्प है। / \(-6x^3+x^2-5\) has degree (3) and leading coefficient (-6). Therefore it is the correct option.
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