IIT-JEE Exam

Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR, OQR are of equal area. The coordinates of R are??

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IIT-JEE Other Question

Let ABCD be a quadrilateral with area 18, with side AB parallel to the side CD and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius is?? Let f(x) = 2 + cosx for all real x.
STATEMENT -1 : For each real t, there exists a point c in [t, t + i] such that f(c) = 0.
because
STATEMENT -2 : f(t) = f(t + 2i) for each real t.

(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