ABCD is a square with side a, with centers A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let S be the area of the region in the interior of the square and exterior of the circle. Then, maximum value of S is A.a2(1−π)B.a2(4−π4)C.a2(π−1)D.πa24

How do you find the Maclaurin series for tanx?

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

Find the arithmetic mean of the first ten odd natural numbers.

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr