Solve each of the following pairs of equations by reducing them to a pair of linear equations: (i) 5x−1+1y−2=2 6x−1−3y−2=1 (ii) x+yxy=2 x−yxy=6 (iii) 2x−−√+3y√=2 4x−−√−9y√=−1 (iv) 6x+3y=6xy 2x+4y=5xy

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