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 31-40 of 600 questions.
What are the roots of \(x^2+6x+9=0\)?
B. (-3) और (-3)(-3) and (-3)
(x-2+6x+9=(x+3)2) इसलिए दोनों मूल (-3) हैं। पूर्ण वर्ग में मूल का चिन्ह उल्टा होता है। / (x-2+6x+9=(x+3)2) so both roots are (-3). In a perfect square the root sign is opposite.
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What are the roots of \(3x^2-12x=0\)?
A. (0) और (4)(0) and (4)
(3x-2-12x=3x(x-4)) इसलिए मूल (0) और (4) हैं। सामान्य गुणनखंड पहले बाहर निकालें। / (3x-2-12x=3x(x-4)) so the roots are (0) and (4). Take out the common factor first.
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Which is the root of \(x^2-10x+25=0\)?
B. (5) दो बार(5) twice
(x-2-10x+25=(x-5)2) इसलिए दोहराया मूल (5) है। पूर्ण वर्ग पहचानना समय बचाता है। / (x-2-10x+25=(x-5)2) so the repeated root is (5). Recognising a perfect square saves time.
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Which of the following values is not a root of \(x^2-16=0\)?
C. (0)
\(x^2-16=0\) के मूल (4) और (-4) हैं। (0) रखने पर समीकरण संतुष्ट नहीं होता। / The roots of \(x^2-16=0\) are (4) and (-4). Substituting (0) does not satisfy the equation.
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If ((x-2)(x+7)=0) then what are the roots?
C. (2) और (-7)(2) and (-7)
शून्य गुणनफल नियम से (x-2=0) या (x+7=0) होगा। इसलिए मूल (2) और (-7) हैं। / By the zero product rule (x-2=0) or (x+7=0). Hence the roots are (2) and (-7).
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If the roots of an equation are (1) and (-4) then what is their sum?
B. (-3)
योग (1+(-4)=-3) है। ऋणात्मक संख्या जोड़ते समय चिन्ह का ध्यान रखें। / The sum is (1+(-4)=-3). Be careful with the sign while adding a negative number.
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Which quadratic equation has sum of roots (6) and product of roots (8)?
B. \(x^2-6x+8=0\)
\(मानक रूप (x^2-(\)योग)x+गुणनफल=0) है इसलिए \(x^2-6x+8=0\)। योग वाले पद का चिन्ह बदलता है। \(/ The standard form is (x^2-(\)sum)x+product\(=0) so (x^2-6x+8=0). The sign of the sum term changes.\)
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If (1) is a root of \(2x^2-3x+m=0\) then what is the value of (m)?
B. (1)
(x=1) रखने पर (2-3+m=0) इसलिए (m=1)। मूल दिया हो तो समीकरण में सीधा प्रतिस्थापन करें। / Putting (x=1) gives (2-3+m=0) so (m=1). When a root is given substitute directly in the equation.
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Using formula or factorisation what are the roots of \(x^2-3x+2=0\)?
A. (1) और (2)(1) and (2)
(x-2-3x+2=(x-1)(x-2)) इसलिए मूल (1) और (2) हैं। छोटे अंकों में गुणनखंडन तेज रहता है। / (x-2-3x+2=(x-1)(x-2)) so the roots are (1) and (2). For small numbers factorisation is faster.
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If (2) is a root of a quadratic polynomial then which factor is certain?
B. (x-2)
मूल (2) होने पर संबंधित गुणनखंड (x-2) होता है। मूल (r) के लिए गुणनखंड (x-r) याद रखें। / If the root is (2) the corresponding factor is (x-2). For root (r) remember the factor (x-r).
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