WB JEE 2025 | Trigonometric Functions & Equations Question 32 | Mathematics

WB JEE 2025

MCQ (More than One Correct Answer)

-0

If the equation $\sin ^4 x-(p+2) \sin ^2 x-(p+3)=0$ has a solution, the $p$ must lie in the interval

$[-3,-2]$

$(-3,-2)$

$(2,3)$

$[-5,-3]$

WB JEE 2025

MCQ (More than One Correct Answer)

-0

If $0 \leq a, b \leq 3$ and the equation $x^2+4+3 \cos (a x+b)=2 x$ has real solutions, then the value of $(a+b)$ is

$\frac{\pi}{4}$

$\frac{\pi}{2}$

$\pi$

$2 \pi$

WB JEE 2025

MCQ (More than One Correct Answer)

-0

The solution set of the equation $\left(x \in\left(0, \frac{\pi}{2}\right)\right) \tan (\pi \tan x)=\cot (\pi \cot x)$, is

$\{0\}$

$\left\{\frac{\pi}{4}\right\}$

$\phi$

$\left\{\frac{\pi}{6}\right\}$

WB JEE 2016

MCQ (More than One Correct Answer)

-0

If the first and (2n $$-$$ 1)th terms of an AP, GP and HP are equal and their nth terms are respectively a, b, c, then always

a = b = c

a $$ \ge $$ b $$ \ge $$ c

a + c = b

ac $$-$$ b² = 0

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