WB JEE 2020 | Trigonometric Functions & Equations Question 36 | Mathematics

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

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

If $${e^{\sin x}} - {e^{-\sin x}} - 4 = 0$$, then the number of real values of x is

WB JEE 2019

MCQ (Single Correct Answer)

-0.5

The graphs of the polynomial x² $$-$$ 1 and cos x intersect

at exactly two points

at exactly 3 points

at least 4 but at finitely many points

at infinitely many points

WB JEE Subjects