WB JEE 2010 | Functions Question 9 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The minimum value of $$f(x) = {e^{({x^4} - {x^3} + {x^2})}}$$ is

$$-$$ e

$$-$$ 1

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The period of the function f(x) = cos 4x + tan 3x is

$$\pi$$

$${\pi \over 2}$$

$${\pi \over 3}$$

$${\pi \over 4}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The even function of the following is

$$f(x) = {{{a^x} + {a^{ - x}}} \over {{a^x} - {a^{ - x}}}}$$

$$f(x) = {{{a^x} + 1} \over {{a^x} - 1}}$$

$$f(x) = x.\,{{{a^x} - 1} \over {{a^x} + 1}}$$

$$f(x) = {\log _2}(x + \sqrt {{x^2} + 1} )$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If f(x + 2y, x $$-$$ 2y) = xy, then f(x, y) is equal to

$${1 \over 4}xy$$

$${1 \over 4}({x^2} - {y^2})$$

$${1 \over 8}({x^2} - {y^2})$$

$${1 \over 2}({x^2} + {y^2})$$

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