KVPY Government Jobs Exams

The maximum possible value of x^2 + y^2 – 4x – 6y, x, y real, subject to the condition | x + y | + | x – y | = 4
(A) is 12 (B) is 28 (C) is 72 (D) does not exist

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KVPY Other Question

Let f(x) = x^12 – x^9 + x^4 – x + 1. Which of the following is true ?
(A) f is one-one
(B) f has a real root
(C) f ′ never vanishes
(D) f takes only positive values arithmetic mean and the geometric mean of two distinct 2-digit numbers x and y are two integers one of
which can be obtained by reversing the digits of the other (in base 10 representation). Then x + y equals-
(A) 82 (B) 116 (C) 130 (D) 148