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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

Consider the system of equations

STATEMENT-1: The system of equations has no solution for , *and* STATEMENT-2: The determinant , for .

Answer: (A)

Solution

: and give rows and , so .

Consistency: (eq. 1) + (eq. 2) gives ; (eq. 3) − (eq. 1) gives . These agree only for . So for there is no

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Question ID VK-110700