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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

If and

f(x)=

then is a polynomial of degree

Answer: (C)

Solution

Apply , :

f(x)= =(x-.

, then (to clear row 3):

=(x-Missing \end{vmatrix}\begin{vmatrix}1+++1)x

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Question ID VK-110173