In \(\Delta XYZ\), ray YM bisects \(\angle XYZ\), X – M – Z. If XY = 8 and YZ = 12, then XM : MZ = ?

A. 3 : 2

B. 2 : 3

C. 8 : 20

D. 12 : 20

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

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Answer: (B) 2 : 3

By the angle bisector theorem, \(\dfrac{XM}{MZ} = \dfrac{XY}{YZ} = \dfrac{8}{12} = \dfrac{2}{3}\).

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

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