JEE Advanced 2022 Mathematics question
Let denote the determinant of a square matrix . Let be the function defined by
g(θ) = +
where
f(θ) = + .
Let be a quadratic polynomial whose roots are the maximum and minimum values of the function , and . Then, which of the following is/are TRUE ?
Answer: (A),(C)
Solution
First determinant: , so half of it is . The second matrix has zero diagonal and , $ =
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