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JEE Main 2026 Mathematics question

MathematicsDeterminantsJEE Main 2026

The sum of all possible values of θ∈[0,2π], for which the system of equations: x cos3θ−8y−12z=0, x cos2θ+3y+3z=0, x+y+3z=0 has a non-trivial solution, is equal to:

Answer: (D)

Solution

Set the determinant of coefficients to zero. Expanding gives a trigonometric

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Question ID VK-015563