Asked in: March 2025 and March 2026 board papersIn the following figure chord MN and chord RS intersect at point D. If RD = 15, DS = 4, MD = 8, find DN.[Figure: a circle with chords MN and RS crossing at point D inside the circle.]

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: DN = 7.5

\(MD \times DN = RD \times DS\) ...... (theorem of internal division of chords)

\(\therefore 8 \times DN = 15 \times 4 = 60\) \(\therefore DN = \dfrac{60}{8} = 7.5\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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