A circle touches a quadrilateral ABCD. Find the true statement: -

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 – 

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.

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? 

In the given figure AD ‖ BC, if ∠ABC=72°, then ∠BCD=?

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?