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 371-380 of 600 questions.
If (p(x)=x-3+rx-2+s), (p(0)=5), and (p(1)=9), what is (r)?
C. (3)
(p(0)=s=5) और (p(1)=1+r+5=9), इसलिए (r=3)। पहले (x=0) से अचर पद निकालें। / (p(0)=s=5) and (p(1)=1+r+5=9), so (r=3). First use (x=0) to find the constant term.
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For what value of (m) can ((m+1)x-2+(m-2)x+7) become a constant polynomial?
C. ऐसा कोई मान नहींNo such value
अचर बहुपद के लिए (m+1=0) और (m-2=0) दोनों चाहिए, जो साथ संभव नहीं हैं। सभी चर वाले पद हटने चाहिए। / For a constant polynomial, both (m+1=0) and (m-2=0) are needed, which is impossible together. All variable terms must vanish.
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If (p(x)=x-2+2x-8), what is the value of (p(3)-p(-2))?
D. (15)
(p(3)=7) और (p(-2)=-8), इसलिए अंतर (15) है। दोनों मान अलग निकालकर ही घटाएं। / (p(3)=7) and (p(-2)=-8), so the difference is (15). Find both values separately before subtracting.
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Which option correctly proves (p(2)=0) for (p(x)=x-3-8)?
A. \(2^3-8=0\)
(p(2)=23-8=8-8=0)। शून्य सिद्ध करने के लिए सही मान को सही जगह रखें। / (p(2)=23-8=8-8=0). To prove a zero, substitute the correct value in the correct place.
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What is (p(-1)) for (p(x)=x-3+x-2+x+1)?
B. (0)
(p(-1)=-1+1-1+1=0)। वैकल्पिक संकेतों को क्रम से जोड़ें। / (p(-1)=-1+1-1+1=0). Add alternating signs in order.
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If (p(x)=2x-2+bx+c), (p(0)=5), and (p(1)=1), what is (b)?
A. (-6)
(p(0)=c=5) और (p(1)=2+b+5=1), इसलिए (b=-6)। (x=0) से अचर पद तुरंत मिलता है। / (p(0)=c=5) and (p(1)=2+b+5=1), so (b=-6). The constant term is found quickly from (x=0).
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What is the value of (p(2)+p(3)) for (p(x)=x-2-5x+6)?
A. (0)
(p(2)=0) और (p(3)=0), इसलिए योग (0) है। दोनों मान बहुपद के शून्य हैं। / (p(2)=0) and (p(3)=0), so the sum is (0). Both values are zeros of the polynomial.
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If (p(x)=x-2-9), which value of (a) is correct for (p(a)=0)?
C. (a=3)
(p(3)=9-9=0)। \(x^2-9\) के शून्य (3) और (-3) हैं। / (p(3)=9-9=0). The zeros of \(x^2-9\) are (3) and (-3).
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Which value is a zero of (p(x)=4x-2-12x+9)?
B. \(\frac{3}{2}\)
(p\left\(\frac{3}{2}\right\)=9-18+9=0)। भिन्न मान रखते समय वर्ग और गुणा सही करें। / (p\left\(\frac{3}{2}\right\)=9-18+9=0). While using a fraction, square and multiply correctly.
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If (x=1) and (x=-2) are both zeros of (p(x)=x-3+ax-2+bx+6), what is (a-b)?
C. (4)
शर्तों से (a+b=-7) और (4a-2b=2), इसलिए (a=-2), (b=-5) और (a-b=3)। सही गणना से (a-b=3) मिलता है। / The conditions give (a+b=-7) and (4a-2b=2), so (a=-2), (b=-5), and (a-b=3). The correct value is (3).
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