The measure of the angles of a triangle are in the ratio of 2 : 7: 11. Measure of angles are:

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

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?

The area enclosed between the circumferences of two concentric circles is 45π square cm and their radii are in the ratio of 3:2. What is the area off the outer circle?

In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

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

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?