In Fig. 10.67, OQ:PQ=3:4 and perimeter of = 60 cm. Determine PQ, OR and OP.


Given that OQ: PQ=3:4


Let ratio coefficient =x, so


OQ=3x and PQ=4x


We know that a tangent to a circle is perpendicular to the radius at the point of tangency


So



Then applying Pythagoras theorem in triangle POQ



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