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JEE Main 20245 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
5 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Trigonometric Equations

JEE Main 2024 · 5 April · Evening Shift · Mathematics · Trigonometric Equations

The number of solutions of ^2 x+(2+2 x-x^2) x-3(x-1)^2=0 , where -π...

The number of solutions of sin⁡2x+(2+2x−x2)sin⁡x−3(x−1)2=0\sin ^2 x+\left(2+2 x-x^2\right) \sin x-3(x-1)^2=0, where −π≤x≤π-\pi \leq x \leq \pi, is________

Correct answer

0

Step-by-step solution

sin⁡2x−(x2−2x−2)sin⁡x−3(x−1)2=0\sin ^2 x-\left(x^2-2 x-2\right) \sin x-3(x-1)^2=0sin⁡x=−3( reject ) or  (x−1)2sin⁡x=(x−1)2\begin{aligned} & \sin x=-3(\text{ reject }) \text{\text{ or } }(x-1)^2 \\ & \sin x=(x-1)^2\end{aligned}$$
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