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JEE Main 2019 Mathematics question

MathematicsMatricesJEE Main 2019

If the system of equations , and has a non-trivial solution (x, y, z), then is equal to:

Answer: (A)

Solution

Δ = 4k − 18 = 0 ⇒ k = 9/2; from equations 1 and 3: y = −2x, z = −4x. Value = −1/2 + 1/2 − 4 + 9/2 = 1/2.

Question ID VK-009808