Let a, b, c R be all non-zero and satisfy a^3+b^3+c^3=2. If the matrix A= pmatrix a&b&c &c&a &a&b pmatrix...

Question

Let a, b, c R be all non-zero and satisfy a^3+b^3+c^3=2. If the matrix A= pmatrix a&b&c &c&a &a&b pmatrix satisfies A^TA=I, then a value of abc can be :

Accepted Answer

(D)

JEE Main 2020 Mathematics question

Solution