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Functions

Mathematics

Previous Years Questions

MCQ (More than One Correct Answer)

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Let p(x) be a polynomial with real co-efficient, p(0) = 1 and p'(x) > 0 for all x $$\in$$ R. Then
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Let $$f(x) = {x^2} + x\sin x - \cos x$$. Then
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Let f and g be periodic functions with the periods T1 and T2 respectively. Then f + g is
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MCQ (Single Correct Answer)

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$$f:X \to R,X = \{ x|0
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The maximum value of $$f(x) = {e^{\sin x}} + {e^{\cos x}};x \in R$$ is
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Let $$f(n) = {2^{n + 1}}$$, $$g(n) = 1 + (n + 1){2^n}$$ for all $$n \in N$$. Then
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Let $$f(x) = {(x - 2)^{17}}{(x + 5)^{24}}$$. Then
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Domain of $$y = \sqrt {{{\log }_{10}}{{3x - {x^2}} \over 2}} $$ is
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Given that f : S $$\to$$ R is said to have a fixed point at c of S if f(c) = c. Let f : [1, $$\infty$$) $$\to$$ R be def...
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Consider the functions f1(x) = x, f2(x) = 2 + loge x, x > 0. The graphs of the functions intersect...
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f(x) is real valued function such that 2f(x) + 3f($$-$$x) = 15 $$-$$ 4x for all x$$\in$$R. Then f(2) =
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Let f : R $$\to$$ R be given by f(x) = | x2 $$-$$ 1 |, x$$\in$$R. Then,
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Let $$f(x) = \sqrt {{x^2} - 3x + 2} $$ and $$g(x) = \sqrt x $$ be two given functions. If S be the domain of fog and T b...
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The domain of $$f(x) = \sqrt {\left( {{1 \over {\sqrt x }} - \sqrt {x + 1} } \right)} $$ is
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Let $$f(x) = 1 - \sqrt {({x^2})} $$, where the square root is to be taken positive, then
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If f(x + 2y, x $$-$$ 2y) = xy, then f(x, y) is equal to
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The even function of the following is
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The period of the function f(x) = cos 4x + tan 3x is
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The minimum value of $$f(x) = {e^{({x^4} - {x^3} + {x^2})}}$$ is
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For what values of x, the function $$f(x) = {x^4} - 4{x^3} + 4{x^2} + 40$$ is monotone decreasing?
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The function $$f(x) = \log \left( {{{1 + x} \over {1 - x}}} \right)$$ satisfies the equation
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The range of the function $$f(x) = {\log _e}\sqrt {4 - {x^2}} $$ is given by
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