JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

f(x)=\left|\begin{array}{ccc}\sin ^2 \theta & \cos ^2 \theta & x \\ \cos ^2 \theta & x & \sin ^2 \theta \\ x & \sin ^2 \theta & \cos ^2 \theta\end{array}\right|, \theta \in(0, \pi / 2)

, then roots of

f(x)=0

are

View answer and explanation

Correct option: B

1 / 2,-1

Option B (

1/2, -1

) is the correct answer because these are the values of x that make the determinant of the given matrix equal to zero.

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