Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 1-10 of 550 questions.
Which of the following equations is a quadratic equation?
A. \(x^2+3x+2=0\)
द्विघात समीकरण में (x) की सबसे बड़ी घात (2) होती है। परीक्षा में सबसे पहले घात देखें। / A quadratic equation has highest power (2) of (x). In exams first check the degree.
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What is the value of (a) in the equation \(5x^2-2x+9=0\)?
A. (5)
मानक रूप \(ax^2+bx+c=0\) में (a) \(x^2\) का गुणांक होता है। यहां (a=5) है। / In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). Here (a=5).
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What is the value of (b) in \(3x^2+7x-4=0\)?
B. (7)
मानक रूप में (b) (x) का गुणांक होता है। इसलिए (b=7) है। / In standard form, (b) is the coefficient of (x). So (b=7).
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What is the value of (c) in \(4x^2-8x+1=0\)?
C. (1)
मानक रूप में (c) स्थिर पद होता है। यहां स्थिर पद (1) है। / In standard form, (c) is the constant term. Here the constant term is (1).
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What is the value of (c) in \(x^2-6x=0\)?
C. (0)
इसे \(x^2-6x+0=0\) लिखा जा सकता है। अतः (c=0) है। / It can be written as \(x^2-6x+0=0\). Hence (c=0).
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What is the value of \(x\) in \(9x^2+11=0\)?
C. (0)
इसे \(9x^2+0x+11=0\) लिखा जाता है। इसलिए \(x=0\) है। / It is written as \(9x^2+0x+11=0\). So \(x=0\).
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Under which condition is \(ax^2+bx+c=0\) called a quadratic equation?
B. \(a\neq0\)
द्विघात पद बना रहे इसलिए \(a\neq0\) होना चाहिए। परीक्षा में (a=0) होने पर यह रैखिक बन सकता है। / The quadratic term must remain, so \(a\neq0\). If (a=0), it may become linear.
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What is the standard form of \(2x^2+5x=3\)?
B. \(2x^2+5x-3=0\)
सभी पद एक तरफ लाने पर \(2x^2+5x-3=0\) मिलता है। चिन्ह बदलना न भूलें। / Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.
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Which is the standard form of \(x^2=4x+12\)?
A. \(x^2-4x-12=0\)
दाईं ओर के पदों को बाईं ओर लाने पर चिन्ह बदलते हैं। इसलिए \(x^2-4x-12=0\) सही है। / When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.
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Which equation is in the standard form \(ax^2+bx+c=0\)?
A. \(x^2+2x+1=0\)
मानक रूप में दाईं ओर (0) होता है। विकल्प (A) इसी रूप में है। / In standard form the right side is (0). Option (A) matches this form.
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