In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?

What is the equation of the line if its slope is 1/4 and y-­intercept is ­-3?

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

Find the value of p if 3x + p, x -­ 10 and ­x + 16 are in arithmetic progression.

If 2 pair of trouser is offered free on purchase of 3 pair of trousers priced Rs 900 each what is the effective discount on each pair of trouser?

If 7 + 4x > 3 + 3x and 3x -­ 2 < 5 -­ x; then x can take which of the following values?