In the given figure, SX is tangent. SX = OX = OR. If QX=3 cm and PQ = 9 cm. then what is the value (in cm) of OS?

The distance between the center of two equal circles each of radius 3 cm, is 10 cm. The length of a transverse common tangent is 

In the given figure, a circle is placed in a rectangle with another rectangle of dimension 10 cm × 5 cm whose one vertex coincides with vertex of bigger rectangle and opposite vertex lies on circumference of circle. Find the radius of circle.

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

Bhuvnesh has drawn an angle of measure 45⁰7’ when he was asked to draw an angle of 45⁰. The percentage error in his drawing is 

In the given figure, TP and TQ are tangent. If ∠ PAQ=50° then find the value of ∠ PTQ.

If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.

The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is