WB JEE 2021 | Trigonometric Functions & Equations Question 32 | Mathematics

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

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

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