QA and PB are perpendicular to AB in the given figure. If AO = 10 cm, BO = 6cm, BP = 9 cm, then the length of AQ is__

The three vertices of a parallelogram taken in order are (0, 1), (2, 3) and (4, 3) respectively, then the coordinates of the fourth vertex is – 

Find the inradius of a triangle having sides 13, 14 and 15 units.

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? 

One angle of pentagon is 140°. If the remaining angles are in the ratio 1 : 2: 3: 4, the size of the greatest angle is:

In the given figure , ABCD is a square of side 6 cm. What is the value (in cm) of radius of circle?

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.

The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is