WB JEE 2022 | Trigonometric Functions & Equations Question 31 | Mathematics

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If $$(\cot {\alpha _1})(\cot {\alpha _2})\,......\,(\cot {\alpha _n}) = 1,0 < {\alpha _1},{\alpha _2},....\,{\alpha _n} < \pi /2$$, then the maximum value of $$(\cos {\alpha _1})(\cos {\alpha _2}).....(\cos {\alpha _n})$$ is given by

$${1 \over {{2^{n/2}}}}$$

$${1 \over {{2^n}}}$$

$${1 \over {2n}}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

The equation 6^x + 8^x = 10^x has

no real root

infinitely many rational roots

exactly one real root

two distinct real roots

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

$$\cos (2x + 7) = a(2 - \sin x)$$ can have a real solution for

all real values of a

$$a \in [2,6]$$

$$a \in ( - \infty ,2)\backslash \{ 0\} $$

$$a \in (0,\infty )$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

Let f(x) = sin x + cos ax be periodic function. Then,

a is any real number

a is any irrational number

a is rational number

a = 0

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