If the solution set of system of equations $3 \sin ^{-1} x=-\pi$ $-\sin ^{-1}\left(3 x-4 x^3\right)$ is $[a, b]$ and that of $3 \sin ^{-1} x=\pi-\sin ^{-1}$ $\left(3 x-4 x^3\right)$ is $[\mathrm{c}, \mathrm{d}]$ then evaluate $|a|+|b|+|c|+|d|$

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Hard

1 of 1

Application +4 | -1

If the solution set of system of equations

3 \sin ^{-1} x=-\pi

-\sin ^{-1}\left(3 x-4 x^3\right)

[a, b]

and that of

3 \sin ^{-1} x=\pi-\sin ^{-1}

\left(3 x-4 x^3\right)

[\mathrm{c}, \mathrm{d}]

then evaluate

|a|+|b|+|c|+|d|

View answer and explanation

Correct option: A

Option A (3) is correct because the solution sets are [-1, -1/2] and [1/2, 1], so |a| + |b| + |c| + |d| = 3.