IIT-JEE Exam

Consider a branch of the hyperbola x^2 - 2y^2 - 22 x - 42 y - 6 = 0 with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is?

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IIT-JEE Other Question

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is?
a) 3,6,or 9
b) 2,4 or 8
c) 5 or 10
d) 4 or 8 A particle P starts from the point z0 = 1 + 2i, where i = -1. It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point z1. From z1 the particle moves 2 units in the direction of the vector i + j and then it moves through an angle 2i in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given by