JEE Main 2014 Mathematics question

MathematicsDeterminantsJEE Main 2014

Let for i = 1, 2, 3, be a polynomial of degree 2 in x, and be the first and second order derivatives of respectively. Let and . Then determinant of B(x) :

Answer: (4)

Solution

Write , so and . Performing the column operations and , then again, reduces

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Question ID VK-104513