IIT-JEE Exam

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

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IIT-JEE Other Question

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? Consider
L1 : 2x + 3y + p - 3 = 0
L2 : 2x + 3y + p + 3 = 0,
where p is a real number, and C : x^2 + y^2 + 6x - 10y + 30 = 0.
STATEMENT -1 : If line L1 is a chord of circle C, then line L2 is not always a diameter of circle C.
and
STATEMENT -2 : If line L1 is a diameter of circle C, then line L2 is not a chord of circle C.
(A) STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1
(B) STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is NOT a correct explanation for STATEMENT -1.
(C) STATEMENT -1 is True, STATEMENT -2 is False
(D) STATEMENT -1 is False, STATEMENT -2 is True