In a cyclic quadrilateral ABCD, diagonal AC bisects `/_C`. Prove that the tangent to thecircle at A is parallel to the diagonal BD.

In a cyclic quadrilateral ABCD the diagonal AC bisects the angle BCD. Prove that the diagonal BD is parallel to the tangent to the circle at point A.

In the cyclic quadrilateral ABCD , the diagonal BD bisects the diagonal AC . Prove that ABxxAD=CBxxCD .

If in a cyclic quadrilateral ABCD, AB=DC , then prove that AC=BD

In quadrilateral ABCD, diagonal BD is bisected by the diagonal AC. Prove that : Delta ABC and Delta ADC are equal in area.

If ABCD is a quadrilateral whose diagonals AC and BD intersect at O, then

If in rectangle ABCD , diagonal AC bisects /_A as well as /_C , then ABCD is a :

If in rectangle ABCD , diagonal AC bisects /_A as well as /_C , then ABCD is a :

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

ABCD is a cyclic quadrilateral. If AB = DC, then prove that AC= BD.