Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q65
The number of distinct real roots of the equation, |cos x, sin x, sin x; sin x, cos x, sin x; sin x, sin x, cos x| =0 in the interval [-(π)/4, (π)/4]…
The number of distinct real roots of the equation, $\displaystyle \left|\begin{array}{ccc}\cos x & \sin x & \sin x \\ \sin x & \cos x & \sin x \\ \sin x & \sin x & \cos x\end{array}\right|=0$ in the interval $\displaystyle \left[-\frac{\pi}{4}, \frac{\pi}{4}\right]$ is :
Official answer
(3)
$\displaystyle 2$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.