Question
Download Solution PDFTwo circles of radii 10 cm and 5 cm touch each other externally at a point A. PQ Is the direct common tangent of those two circles of centres O1 and O2 , respectively. The length of PQ is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of 1st circle (r1) = 10 cm
Radius of 2nd circle (r2) = 5 cm
Formula used:
Direct common tangent = 2 × √(r1 × r2)
Calculation:
Direct common tangent = 2 × √(r1 × r2)
⇒ 2 × √(10 × 5)
⇒ 10√2 cm
∴ The correct answer is 10√2 cm.
Last updated on Jun 13, 2025
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