STEP 1

STEP 2

STEP 3

STEP 4

STEP 5

AB = AC (given)From the theorem which states that the lengths of two tangents drawn from external point to a circle are equal. ..... (1) As tangents AP and AQ are drawn from the external point A. .AP = AQ Also,AB = AC

⇒ AP + PB = AQ + QC⇒ AP + PB = AP + QC⇒ PB = QC From (1) as tangents BP and BL are drawn from external point B, And tangents CQ and CL are drawn from external point C.

.⇒ BP = BL ..... (3) CQ = CL .... (4)

As we have proved PB = QC From 3 and 4 BL = CL ⇒ L bisects BC. Hence proved.