IIT-JEE Exam

The number of A in Tp such that A is either symmetric or skew–symmetric or both, and det(A) divisible by
p is

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IIT-JEE Other Question

Let ABC be a triangle such that ∠ACB =pie/6
and let a, b and c denote the lengths of the sides opposite to A,
B and C respectively. The value(s) of x for which a = x^2 + x + 1, b = x^2 – 1 and c = 2x + 1 is (are) The number of A in Tp such that the trace of A is not divisible by p but det (A) is divisible by p is
[Note: The trace of a matrix is the sum of its diagonal entries.]