KVPY Government Jobs Exams

The smallest possible positive slope of a line whose y-intercept is 5 and which has a common point with the
ellipse 9x^2 + 16y^2 = 144 is-

Read Solution (Total 0)

KVPY Other Question

Let A and B be any two n × n matrices such that the following conditions hold : AB = BA and there exist
positive integers k and l such that Ak = I (the identity matrix) and Bl = 0 (the zero matrix). Then-
(A) A + B = I (B) det (AB) = 0
(C) det (A + B) ≠ 0 (D) (A + B)m = 0 for some integer m 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