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JEE Advanced 2008 Mathematics question

MathematicsDeterminantsJEE Advanced 2008

Consider the system of equations

x - 2y + 3z = -1, -x + y - 2z = k, x - 3y + 4z = 1.

STATEMENT-1: The system of equations has no solution for .

STATEMENT-2: The determinant , for .

Answer: (A)

Solution

The coefficient determinant is 0. Direct elimination shows consistency requires ; for there's no solution (Statement-1 true). The

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Question ID VK-000774