IIT-JEE Exam

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

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IIT-JEE Other Question

Let z1 and z2 be two distinct complex numbers and let z = (1 – t) z1 + tz2 for some real number t with 0 < t <
1. If Arg(w) denotes the principal argument of a nonzero complex number w, then
(A) |z – z1| + |z – z2| = |z1 – z2| (B) Arg (z – z1) = Arg (z – z2) 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)