A line touches a circle of a radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then the distance between them is:

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If ∠QPR = 40°, then ∠ACB is equal to: 

If the perimeter of an equilateral triangle is 30 meters, what is its height?

Diagonals of a Trapezium ABCD with AB‖CD intersect each other at the point O. If AB=2CD, then the ratio of the areas of ΔAOB and ΔCOD is

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

In the figure given below, PT=6 cm and PA=4 cm. What is the length of AB?

A unique circle can always be drawn through x number of given non-collinear points, then X must be