`squareABCD` is a parallelogram. Point E is on side BC , line DE intersects Ray AB in point . T Prove that : `DExxBE=CExxTE`.

squareABCD is a parallelogram . Side BC intersects circle at point P . Prove that DC = DP .

ABCD is a parallelogram, E is the mid-point of AB and CE bisects angleBCD . Then angleDEC is

squareABCD is a parallelogram. A circle passing throught D, A, B cuts BC in P. Prove that DC=DP.

ABCD is a parallelogram. L is a point on BC which divides BC in the ratio 1:2 . AL intersects BD at P.M is a point on DC which divides DC in the ratio 1 : 2 and AM intersects BD in Q. Point Q divides DB in the ratio

The diagonal AC of a parallelogram ABCD intersects DP at the point Q, where ‘P’ is any point on side AB. Prove that CQ xx PQ = QA xx QD .

squareABCD is a trapezium in which AB|| DC and its diagonals intersect each other at points O . Show that AO : BO = CO : DO.

ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E . If Delta AED ~ Delta BEC . Prove that AD = BC .

Prove that a line cannot intersect a circle at more two points .

In squareABCD is a quadrilateral. M is the midpoint of diagonal AC and N is the midpoint of diagonal BD. Prove that : AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)=AC^(2)+BD^(2)+4MN^(2).

In squareABCD, "seg " AD||"seg " BC. Diagonal AC and diagonal BC intersect each other in point P. Then show that (AP)/(PD)=(PC)/(BP)