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:

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If ∠SPT=32°, then what will be the measure of ∠QRP?

Find out the equation of line which is perpendicular to 2x - 3y = 5 and passes through point (1,1).

Given that DE || BC, AD : DB = 3 : 4, find out ar(∆ADE)/ar(∆ABC)?

∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are

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

ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is: