WB JEE 2016 | Trigonometric Functions & Equations Question 51 | Mathematics

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

If the function f : R $$ \to $$ R is defined by f(x) = (x² + 1)³⁵, $$\forall $$ x$$ \in $$R, then f is

one-one but not onto

onto but not one-one

neither one-one nor onto

both one-one and onto

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The value of $$\cos 15^\circ \cos 7{{1^\circ } \over 2}\sin 7{{1^\circ } \over 2}$$ is

$${1 \over 2}$$

$${1 \over 8}$$

$${1 \over 4}$$

$${1 \over 16}$$

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The smallest positive root of the equation tan x $$-$$ x = 0 lies in

$$\left( {0,{\pi \over 2}} \right)$$

$$\left( {{\pi \over 2},\pi } \right)$$

$$\left( {\pi ,{{3\pi } \over 2}} \right)$$

$$\left( {{{3\pi } \over 2},2\pi } \right)$$

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The points ($$-$$a, $$-$$b), (a, b), (0, 0) and (a², ab), a $$ \ne $$ 0, b $$ \ne $$ 0 are always

collinear

vertices of a parallelogram

vertices of a rectangle

lie on a circle

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