In Fig. 10.65, common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.
Matching exercise
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
A is the point of intersection of PQ and RS
We know that , length of two tangent drawn from an exterior point to acirclr are equal.
Therefore
PA = RA----------------- (i)
QA = SA ------------------- (ii)
Adding two equations we get
PA + QA =RA + SA
PQ =RS (proved)
