KVPY Government Jobs Exams

Suppose m, n are positive integers such that 6m + 2m+n 3w + 2n = 332. The value of the expression
m2 + mn + n2 is-

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KVPY Other Question

Let ABC be a triangle and P be a point inside ABC such that PA 2PB 3PC 0
r
+ + = . The ratio of the area of
triangle ABC to that of APC is-
(A) 2 (B)
2
3 (C)
3
5 (D) 3 A ball is dropped vertically from a height of h onto a hard surface. If the ball rebounds from the surface with
a fraction r of the speed with which it strikes the latter on each impact, what is the net distance traveled by
the ball up to the 10th impact