Question 133

Two circles with radii 5cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, the AP : AQ is

Solution

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Let's say centres of circles are O and R
Hence triangle APO and triangle ARQ will be similar triangles and ratio of corresponding sides will be equal.
So OP:QR = AP : PQ = 5:8

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