Question : Two circles of radii 9 cm and 4 cm, respectively, touch each other externally at point $A. PQ$ is the direct common tangent of those two circles of centres $O_1$ and $O_2$, respectively. The length of $PQ$ is equal to:
Option 1: 13 cm
Option 2: 11 cm
Option 3: 10 cm
Option 4: 12 cm
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Correct Answer: 12 cm
Solution : Given: $R_1$ = 9 cm $R_2$ = 4 cm Thus, direct common tangent, PQ = $2\sqrt{R_1R_2}$ = $2×\sqrt{9×4}$ = $2×3×2$ = $12$ cm Hence, the correct answer is 12 cm.
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Question : Two circles with centres A and B touch each other externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:
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