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## 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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Consider the function $$y = {\log _a}(x + \sqrt {{x^2} + 1} ),a &gt; 0,a \ne 1$$. The inverse of the function
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$$f:X \to R,X = \{ x|0 WB JEE 2022 The maximum value of$$f(x) = {e^{\sin x}} + {e^{\cos x}};x \in R$$is WB JEE 2022 Let$$f(n) = {2^{n + 1}}$$,$$g(n) = 1 + (n + 1){2^n}$$for all$$n \in N$$. Then WB JEE 2022 Let$$f(x) = {(x - 2)^{17}}{(x + 5)^{24}}$$. Then WB JEE 2022 Domain of$$y = \sqrt {{{\log }_{10}}{{3x - {x^2}} \over 2}} $$is WB JEE 2022 Given that f : S$$\to$$R is said to have a fixed point at c of S if f(c) = c. Let f : [1,$$\infty$$)$$\to$$R be def... WB JEE 2021 Consider the functions f1(x) = x, f2(x) = 2 + loge x, x > 0. The graphs of the functions intersect... WB JEE 2021 f(x) is real valued function such that 2f(x) + 3f($$-$$x) = 15$$-$$4x for all x$$\in$$R. Then f(2) = WB JEE 2021 Let f : R$$\to$$R be given by f(x) = | x2$$-$$1 |, x$$\in$$R. Then, WB JEE 2021 Let$$f(x) = \sqrt {{x^2} - 3x + 2} $$and$$g(x) = \sqrt x $$be two given functions. If S be the domain of fog and T b... WB JEE 2020 The domain of$$f(x) = \sqrt {\left( {{1 \over {\sqrt x }} - \sqrt {x + 1} } \right)} $$is WB JEE 2020 Let$$f(x) = 1 - \sqrt {({x^2})} $$, where the square root is to be taken positive, then WB JEE 2020 Let a &gt; b &gt; 0 and I(n) = a1/n$$-$$b1/n, J(n) = (a$$-$$b)1/n for all n$$ \ge $$2, then... WB JEE 2019 Consider the function f(x) = cos x2. Then, WB JEE 2019 Let$$f:R \to R$$be defined by$$f(x) = {x^2} - {{{x^2}} \over {1 + {x^2}}}$$for all$$x \in R$$. Then, WB JEE 2019 If the polynomial$$f(x) = \left| {\matrix{ {{{(1 + x)}^a}} &amp; {{{(2 + x)}^b}} &amp; 1 \cr 1 &amp; {{{(1 + x)...
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For 0 $$\le$$ p $$\le$$ 1 and for any positive a, b; let I(p) = (a + b)p, J(p) = ap + bp, then ...
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If f : R $$\to$$ R be defined by f (x) = ex and g : R $$\to$$ R be defined by g(x) = x2. The mapping gof : R $$\to ... WB JEE 2018 The domain of definition of$$f(x) = \sqrt {{{1 - |x|} \over {2 - |x|}}} $$is WB JEE 2018 Let$$f(x) = {x^{13}} + {x^{11}} + {x^9} + {x^7} + {x^5} + {x^3} + x + 19$$. Then, f(x) = 0 has WB JEE 2017 Let$$f:R \to R$$be such that f is injective and$$f(x)f(y) = f(x + y)$$for$$\forall x,y \in R$$. If f(x), f(y), f(z)... WB JEE 2017 If f(x + 2y, x$$-$$2y) = xy, then f(x, y) is equal to WB JEE 2011 The even function of the following is WB JEE 2011 The period of the function f(x) = cos 4x + tan 3x is WB JEE 2011 The minimum value of$$f(x) = {e^{({x^4} - {x^3} + {x^2})}}$$is WB JEE 2010 For what values of x, the function$$f(x) = {x^4} - 4{x^3} + 4{x^2} + 40$$is monotone decreasing? WB JEE 2010 The function$$f(x) = \log \left( {{{1 + x} \over {1 - x}}} \right)$$satisfies the equation WB JEE 2008 The range of the function$$f(x) = {\log _e}\sqrt {4 - {x^2}}  is given by
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