IIT-JEE Exam

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)

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IIT-JEE Other Question

Let P, Q, R and S be the points on the plane with position vectors –2 ˆi −ˆj, 4ˆi,3ˆi + 3ˆj and −3ˆi + 2ˆj
respectively. The quadrilateral PQRS must be a
(A) parallelogram, which is neither a rhombus nor a rectangle
(B) square (C) rectangle, but not a square
(D) rhombus, but not a square 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