If a variable line in two adjacent positions has direction cosines l + δl, m + δm, n + δn then the small angle δθ between the two positions is given by: (a) δθ2=4(δl2+δm2+δn2) (b) δθ2=2(δl2+δm2+δn2) (c) δθ2=(δl2+δm2+δn2) (d) None of these

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