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 281-290 of 550 questions.
If the sum of roots of \(4x^2+mx+20=0\) is (-6), what is (m)?
A. (24)
मूलों का योग \(-\frac{m}{4}=-6\), इसलिए (m=24) है। योग के सूत्र में ऋण चिन्ह न भूलें। / The sum of roots is \(-\frac{m}{4}=-6\), so (m=24). Do not forget the negative sign in the sum formula.
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If the product of roots of \(qx^2-8x+12=0\) is (4), what is the value of (q)?
A. (3)
मूलों का गुणनफल \(\frac{12}{q}=4\), इसलिए (q=3) है। गुणनफल के लिए \(\frac{c}{a}\) का प्रयोग करें। / The product of roots is \(\frac{12}{q}=4\), so (q=3). Use \(\frac{c}{a}\) for the product of roots.
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Which pair is the correct roots of \(x^2-3x-40=0\)?
A. (8,-5)
((x-8)(x+5)=0) से मूल (8) और (-5) मिलते हैं। गुणनफल और योग दोनों मिलाकर जांचें। / From ((x-8)(x+5)=0), the roots are (8) and (-5). Check both product and sum.
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If the roots of \(x^2+ux+64=0\) are (8) and (8), what is the value of (u)?
B. (-16)
मूलों का योग (16) है और \(x^2+ux+64=0\) में योग (-u) होता है। इसलिए (u=-16) है। / The sum of roots is (16), and in \(x^2+ux+64=0\), the sum is (-u). Therefore (u=-16).
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Which quadratic equation is obtained by simplifying ((x+4)2-3(x+4)-10=0)?
A. \(x^2+5x-6=0\)
((x+4)2=x-2+8x+16) और (-3(x+4)=-3x-12) है। सरल करने पर \(x^2+5x-6=0\) मिलता है। / ((x+4)2=x-2+8x+16) and (-3(x+4)=-3x-12). Simplifying gives \(x^2+5x-6=0\).
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What is the standard form of ((x-4)(x+9)=5x)?
A. \(x^2-36=0\)
बाईं ओर \(x^2+5x-36\) मिलता है। (5x) घटाने पर \(x^2-36=0\) बनता है। / The left side gives \(x^2+5x-36\). Subtracting (5x) gives \(x^2-36=0\).
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If \(x^2-15x+56=0\), what will the left side become when (x=7)?
A. (0)
\(7^2-15\cdot7+56=49-105+56=0\) है। बायां पक्ष (0) हो तो दिया मान मूल है। / \(7^2-15\cdot7+56=49-105+56=0\). If the left side becomes (0), the given value is a root.
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If the roots of \(x^2-18x+k=0\) are equal, what is (k)?
B. (81)
समान मूलों के लिए (D=0), इसलिए (324-4k=0) और (k=81)। समान मूल की शर्त में विवेचक शून्य रखें। / For equal roots, (D=0), so (324-4k=0) and (k=81). For equal roots, set the discriminant to zero.
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In \(x^2+kx+81=0\), if the roots are equal and negative, which possible value of (k) is correct?
A. (18)
समान मूलों के लिए \(k^2=324\) और समान मूल \(-\frac{k}{2}\) होगा। ऋणात्मक मूल के लिए (k=18) सही है। / For equal roots, \(k^2=324\), and the equal root is \(-\frac{k}{2}\). For a negative root, (k=18) is correct.
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In which option is the constant term absent but the equation is quadratic?
A. \(2x^2+7x=0\)
\(2x^2+7x=0\) में \(x^2\) पद है और स्थिर पद अनुपस्थित है। स्थिर पद न होने पर भी समीकरण द्विघात हो सकता है। / In \(2x^2+7x=0\), the \(x^2\) term is present and the constant term is absent. An equation can be quadratic even without a constant term.
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