Q. 215.0( 4 Votes )

In Fig. 10.83, if

Answer :

Given:


AP = PB


Property: If two tangents are drawn to a circle from one external point, then their tangent segments (lines joining the external point and the points of tangency on circle) are equal.


By the above property,


AP = AQ (tangent from A)


BR = BP (tangent from B)


CQ = CR (tangent from C)


Clearly,


AP = BP = BR


AQ = AP = BR


Now,


AQ + QC = BR + RC


AC = BC [AC = AQ + QC and BC = BR + RC]


Hence, AC = BC

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses