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 181-190 of 600 questions.
What is the slope of the line \(y=-\frac{1}{2}x+3\)?
A. \(-\frac{1}{2}\)
(y=mx+c) में (m) ढाल होता है। यहां \(m=-\frac{1}{2}\) है। / In (y=mx+c), (m) is the slope. Here \(m=-\frac{1}{2}\).
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What is the slope of the line (4x-2y=6)?
A. (2)
(4x-2y=6) से (y=2x-3) मिलता है। इसलिए ढाल (2) है। / From (4x-2y=6), we get (y=2x-3). So the slope is (2).
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What is the value of (f(x)=|x|-|x-2|) at (x=3)?
A. (2)
(f(3)=|3|-|1|=3-1=2)। मापांक में पहले अंदर का मान लगाएं। / (f(3)=|3|-|1|=3-1=2). In modulus questions, substitute the inside values first.
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What is the value of (f(x)=|x-1|+|x+1|) at (x=0)?
A. (2)
(f(0)=|-1|+|1|=1+1=2)। मापांक हमेशा गैरऋणात्मक मान देता है। / (f(0)=|-1|+|1|=1+1=2). Modulus always gives a non-negative value.
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What is the vertex of (f(x)=x-2-6x+9)?
A. ((3,0))
(x-2-6x+9=(x-3)2)। इसलिए परवलय का शीर्ष ((3,0)) है। / (x-2-6x+9=(x-3)2). Therefore the vertex of the parabola is ((3,0)).
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What is the minimum value of (f(x)=x-2+4x+7)?
A. (3)
(x-2+4x+7=(x+2)2+3)। इसलिए न्यूनतम मान (3) है। / (x-2+4x+7=(x+2)2+3). Therefore the minimum value is (3).
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What are the (x)-intercepts of (f(x)=x-2-4x)?
A. (x=0) और (x=4)(x=0) and (x=4)
(x-2-4x=x(x-4))। (y=0) पर (x=0) या (x=4) मिलता है। / (x-2-4x=x(x-4)). At (y=0), we get (x=0) or (x=4).
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What is the (x)-intercept of (f(x)=x-3-8)?
A. (x=2)
(x)-अक्ष पर \(x^3-8=0\), इसलिए \(x^3=8\)। इससे (x=2) मिलता है। / On the (x)-axis, \(x^3-8=0\), so \(x^3=8\). This gives (x=2).
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What is the central inflection point of (f(x)=(x+3)3-1)?
A. ((-3,-1))
\(y=x^3\) का केंद्रीय बिंदु ((0,0)) है। ((x+3)3-1) इसे ((-3,-1)) पर खिसकाता है। / The central point of \(y=x^3\) is ((0,0)). The graph ((x+3)3-1) shifts it to ((-3,-1)).
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What are the zeros of (f(x)=|x-2-4|)?
A. (x=2) और (x=-2)(x=2) and (x=-2)
मापांक शून्य तभी होता है जब अंदर की राशि शून्य हो। \(x^2-4=0\) से \(x=\pm 2\) मिलता है। / A modulus is zero only when the inside expression is zero. From \(x^2-4=0\), we get \(x=\pm 2\).
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