KVPY Government Jobs Exams

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability
that they form the vertices of an isosceles triangle is-

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KVPY Other Question

Consider the regions A = {(x, y) | x^2 + y^2 ≤ 100} and = {(x, y) | sin (x + y) > 0} in the plane. Then the area
of the region A ∩ B is-
(A) 10 π (B) 100 (C) 100 π (D) 50 π Let kˆ jˆ iˆ u = 2 − + r , kˆ v = −3ˆj + 2 r be vectors in R3 and w r be a unit vector in the xy-plane. Then the maximum
possible value of | (u r × v r ) .w r | is-