Question

In the adjoining figure, PQ ∥ XY ∥ BC, AP = 2 cm, PX = 1.5 cm and BX = 4 cm. If QY = 0.75 cm, then AQ + CY =

If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to third side. State and prove the converse of the above statement.

Given △ABC ~ △PQR, ∠A = 30° and ∠Q = 90°. The value of (∠R + ∠B) is

In the adjoining figure, ABCD is a trapezium in which XY ∥ AB ∥ CD. If AX = 2/3 AD, then CY : YB =

E and F are points on the sides AB and AC respectively of a △ABC such that AE/EB = AF/FC = 1/2. Which of the following relation is true ?