- Home
- Standard 11
- Mathematics
4-2.Quadratic Equations and Inequations
hard
The number of solutions of $\sin ^2 \mathrm{x}+\left(2+2 \mathrm{x}-\mathrm{x}^2\right) \sin \mathrm{x}-3(\mathrm{x}-1)^2=0$, where $-\pi \leq \mathrm{x} \leq \pi$, is....................
A
$6$
B
$7$
C
$2$
D
$4$
(JEE MAIN-2024)
Solution
$ \sin ^2 x-\left(x^2-2 x-2\right) \sin x-3(x-1)^2=0 $
$ \left.\sin ^2 x-(x-1)^2\right) \sin x-3(x-1)^2=0$
$Image$
$ \sin x=-3( reject) or (x-1)^2 $
$ \sin x=(x-1)^2$
$Image$
Standard 11
Mathematics
