In the figure $, AP = PB$
But $AP$ and $AQ$ are the tangent from $A$ to the circle.
$AP = AQ$ Similarly $PB = BR$
But $AP = PB \ ($given$)$
$AQ = BR ….(i)$
But $CQ$ and $CR$ the tangents drawn from $C$ to the circle
$CQ = CR$
Adding in $(i)$
$AQ + CQ = BR + CR$
$AC = BC$
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