In the adjoining figure, bisector of `angleBAC` intersects BC at point D. Prove that `AB gt BD` .

In the adjoining figure, seg AB is a diameter of a circle with centre O. the bisector of angleACB intersects the circle at point D. Prove that ,seg ADcongseg BD .

In the adjoining figure,chord PQ and chord AB intersect at point M.If PM=AM,then prove that BM=QM.

In the adjoining figure, chord MN and RS intersect each other at point D. If RS=18, MD=9, DN=8, then DS=?

In the adjoining figure, chord MN and RS intersect each other at point D. If RD=15, DS=4, MD=8, then DN=?

In the adjoining figure, chords CB and ED intersect each other in point A in the exterior of the circle. IF CB=5,AB=7,EA=20 and IF ED exceeds AD, determine ED-AD.

In the adjoining figure, seg AB is a diameter of a circle with centre O. Bisector of inscribed /_ACB intersects circle at point D. prove: seg AD~=seg BD

In the adjoining figure,seg DE abs() side AC and seg DC abs() side AP. Prove that (BE)/(EC) = (BC)/(CP) .

In the adjoining figure, two circles intersect each other at points A and E. Their common secant through E intersects the circle at points B and D. The tangents of the circles at point B and D intersect each other at point C. Prove that square ABCD is cyclic.

In the adjoining figure ,two circles intersect at points M and N. | Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that: seg SQ || seg RP.