KVPY Government Jobs Exams

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)

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KVPY Other Question

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
The minimum distance between a point on the curve y = e^x and a point on the curve y = logex is