KVPY Government Jobs Exams

If a, b, c, d are positive real numbers such that
6
a b c d
5
a b c
4
a b
3
a + + +
=
+ +
=
+
= , then
b 2c 3d
a
+ +
is

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KVPY Other Question

Let f(x) be a quadratic polynomial with f(2) = 10 and f(2) = – 2. Then the coefficient of x in f(x) is–
(A) 1 (B) 2 (C) 3 (D) 4 In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB
respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure