Mathematics · Geometry

PQ and RS are common tangents to two circles intersecting at points C and D. The line joining C and D, when extended on both sides, meets the tangents PQ and RS at points M and N, respectively. If CD = 6 cm and MN = 10 cm, then what will be the length (in cm) of tangent PQ?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

19 cm
26 cm
37 cm
48 cm✓

Correct answer

8 cm

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PQ and RS are common tangents to two circles intersecting at points C and D. The line joining C and D, when extended on both sides, meets the tangents PQ and RS at points M and N, respectively. If CD = 6 cm and MN = 10 cm, then what will be the length (in cm) of tangent PQ?

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PQ and RS are common tangents to two circles intersecting at points C and D. The line joining C and D, when extended on both sides, meets the tangents PQ and RS at points M and N, respectively. If CD = 6 cm and MN = 10 cm, then what will be the length (in cm) of tangent PQ?

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