Exams › JEE Main › Maths
How many different real values of x in the interval −π/4 ≤ x ≤ π/4 satisfy | sin x cos x cos x | | cos x sin x cos x | = 0 | cos x cos x sin x | ?
- 0
- 2
- 1
- 3
Correct answer: 2
Solution
The equation represents a determinant that equals zero, which occurs when the rows of the matrix are linearly dependent. Analyzing the trigonometric functions within the specified interval reveals two distinct angles where this condition is satisfied.
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