ABCD is a trapezium with AB parallel to CD The diagonals AC and BD intersect at O. A line EF through O is drawn parallel to AB and CD cuts sides AB and CD at E and F respectively. AE = 2cm, EB = 4.5cm, CF = 5cm, FD = 3cm, AD = 12cm, BC = 18cm.

1. find ratio of area of triangle ADD to area of triangle BDA Ans: 4/9
2. find ratio of area of triangle DOF to area of triangle CAD Ans: 9/64
3. find ratio of area of triangle AOE to area of triangle ACB Ans: 16/169

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