IIT-JEE Exam

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)

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IIT-JEE Other Question

Let A and B be two distinct points on the parabola y2 = 4x. If the axis of the parabola touches a circle of
radius r having AB as its diameter, then the slope of the line joining A and B can be The number of A in Tp such that A is either symmetric or skew–symmetric or both, and det(A) divisible by
p is