[" 4.I is the centre of the incircle of "/_ABC" ; AI produced intersects the circumcircle of that "],[" triangle at the point "P" ,let us prove that "PB=PC=PI]

I is the centre of the incircle of Delta ABC, produced AI intersects the circumercile of that triangle at the point P. Prove that PB=PC=PI

O is the orthocentre of Delta ABC and AD bot BC . If AD is produced it interect the circumcircle of Delta ABC at the point G. Prove that OD= DG .

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ABC = 72^(@), calculate: angle BIC

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ABC = 72^(@), calculate: angle DCI

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ACB = 72^(@), calculate: angle CBD

In the given I is the incentre of triangle ABC. AI produced meets the circumcircle of triangle ABC at point D. Given that angle ABC = 48^(@) and angle ACB = 72^(@), calculate: angle BCD

The internal and external bisectors of the vertical angle of a triangle intersect the circumcircle of the triangle at the points P and Q. Prove that PQ is a diameter of the circle.

In given figure , ABC is a triangle produced meets the circumcircle of Delta ABC at Q , prove that CP=CQ

In given figure , ABC is a triangle produced meets the circumcircle of Delta ABC at Q , prove that CP=CQ