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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

Let

= ++++λ x+μ

be an identity in , where are independent of . Then the value of is

Answer: (A)

Solution

is the coefficient of , i.e. .

The derivative of a determinant is the sum of the three determinants obtained by differentiating one row at a time. The row derivatives are , , . At the undifferentiated rows are

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Question ID VK-108273