In \(\triangle ABC\), seg \(DE \parallel\) side \(BC\), with D on AB and E on AC. If \(AD = 4\), \(DB = 6\) and \(AE = 6\), then \(EC = \)

A. 4

B. 6

C. 9

D. 12

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Best answer

Answer: C. 9

By the basic proportionality theorem, \(\frac{AD}{DB} = \frac{AE}{EC} \Rightarrow \frac{4}{6} = \frac{6}{EC} \Rightarrow EC = 9\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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