KVPY Government Jobs Exams

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

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KVPY Other Question

The value of ∫
π
− π −
2
0
min{| x |, cos 1(cos x)} dx is
Suppose m, n are positive integers such that 6m + 2m+n 3w + 2n = 332. The value of the expression
m2 + mn + n2 is-