JEE Main 2021 (3 Aug, Shift 2) Maths Q69: If for non-zero…

Question

If for non-zero distinct real numbers $a$, $b$ and $c$,
$f(x) = \begin{cases} x\alpha + \sqrt{2}a\sin x, & 0 \le x < \frac{\pi}{4} \ 2x\alpha\cot x - c\sin 2x, & \frac{\pi}{4} \le x < \frac{\pi}{2} \ -8ac\cos 2x - \pi\alpha b, & \frac{\pi}{2} \le x \le \pi \end{cases}$
is continuous on $[0, \pi]$, then

Accepted Answer

Option 2: $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in A.P.

Answer

$a, b, c$ are in A.P.

Answer

$\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in A.P.

Answer

$a, b, c$ are in G.P.

Answer

$\frac{1}{a} + \frac{2}{b} + \frac{1}{c} = 0$

JEE Main 3 August 2021, Shift 2, Maths Q69

Same idea in other shifts