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 231-240 of 550 questions.
What is the sum of roots of \(4x^2-7x+2=0\)?
A. \(\frac{7}{4}\)
मूलों का योग \(-\frac{b}{a}=-\frac{-7}{4}=\frac{7}{4}\) है। सूत्र में (b) का चिन्ह ध्यान से रखें। / The sum of roots is \(-\frac{b}{a}=-\frac{-7}{4}=\frac{7}{4}\). Pay attention to the sign of (b) in the formula.
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What is the product of roots of \(5x^2-3x-11=0\)?
A. \(-\frac{11}{5}\)
मूलों का गुणनफल \(\frac{c}{a}=\frac{-11}{5}\) है। (c) का चिन्ह सूत्र में सीधे आता है। / The product of roots is \(\frac{c}{a}=\frac{-11}{5}\). The sign of (c) is used directly in the formula.
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If the sum of roots of \(3x^2+nx+12=0\) is (-4), what is (n)?
A. (12)
मूलों का योग \(-\frac{n}{3}=-4\), इसलिए (n=12) है। योग के सूत्र में ऋण चिन्ह न भूलें। / The sum of roots is \(-\frac{n}{3}=-4\), so (n=12). Do not forget the negative sign in the sum formula.
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If the product of roots of \(px^2+6x+9=0\) is (3), what is the value of (p)?
A. (3)
मूलों का गुणनफल \(\frac{9}{p}=3\), इसलिए (p=3) है। गुणनफल के लिए \(\frac{c}{a}\) का प्रयोग करें। / The product of roots is \(\frac{9}{p}=3\), so (p=3). Use \(\frac{c}{a}\) for the product of roots.
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In which equation is (x=-2) not a root?
D. \(x^2-2x+4=0\)
(x=-2) रखने पर \(4+4+4=12\neq0\) मिलता है। मूल न होने की जांच भी प्रतिस्थापन से करें। / Putting (x=-2) gives \(4+4+4=12\neq0\). To check a non-root, use substitution too.
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Which pair is the correct roots of \(x^2+2x-35=0\)?
A. (5,-7)
((x+7)(x-5)=0) से मूल (-7) और (5) मिलते हैं। गुणनफल और योग दोनों मिलाकर जांचें। / From ((x+7)(x-5)=0), the roots are (-7) and (5). Check both product and sum.
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If the roots of \(x^2+rx+36=0\) are (6) and (6), what is the value of (r)?
B. (-12)
मूलों का योग (12) है और \(x^2+rx+36=0\) में योग (-r) होता है। इसलिए (r=-12) है। / The sum of roots is (12), and in \(x^2+rx+36=0\) the sum is (-r). Therefore (r=-12).
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Which quadratic equation is obtained by simplifying ((x-3)2+2(x-3)-8=0)?
A. \(x^2-4x-5=0\)
((x-3)2=x-2-6x+9) है और (2(x-3)=2x-6) है। सरल करने पर \(x^2-4x-5=0\) मिलता है। / ((x-3)2=x-2-6x+9) and (2(x-3)=2x-6). Simplifying gives \(x^2-4x-5=0\).
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What is the standard form of ((x+2)(x-7)=3x)?
A. \(x^2-8x-14=0\)
बाईं ओर \(x^2-5x-14\) मिलता है। (3x) को घटाने पर \(x^2-8x-14=0\) बनता है। / The left side gives \(x^2-5x-14\). Subtracting (3x) gives \(x^2-8x-14=0\).
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If \(x^2-12x+35=0\), what will the left side become when (x=5)?
A. (0)
\(5^2-12\cdot5+35=25-60+35=0\) है। बायां पक्ष (0) हो तो दिया मान मूल है। / \(5^2-12\cdot5+35=25-60+35=0\). If the left side becomes (0), the given value is a root.
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