KVPY Government Jobs Exams

In triangle ABC, we are given that 3 sin A + 4 cos B = 6 and 4 sin B + 3 cos A = 1. Then the measure of the
angle C is -
(A) 30º (B) 150º (C) 60º (D) 75º

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KVPY Other Question

In the xy-plane, three distinct lines l1, l2, l3 concur at a point (λ, 0). Further the lines l1, l2, l3 are normals to the
parabola y^2 = 6x at the points A = (x1, y1), B = (x2, y2), C = (x3, y3) respectively. Then find λ Which of the following intervals is a possible domain of the function f (x) = log{x} [x] + log[x] {x}, where [x]
is the greatest integer not exceeding x and {x} = x – [x] ?
(A) (0, 1) (B) (1, 2) (C) (2, 3) (D) (3, 5)