मराठी

In ∆Abc, a Line Xy Parallel to Bc Cuts Ab at X and Ac at Y. If by Bisects ∠Xyc, Then (A) Bc = Cy (B) Bc = by (C) Bc ≠ Cy (D) Bc ≠ by - Mathematics

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प्रश्न

In ∆ABC, a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects ∠XYC, then

 

पर्याय

  •  BC = CY

  • BC = BY

  •  BC ≠ CY

  • BC ≠ BY

MCQ

उत्तर

Given: XY||BC and BY is bisector of

\[\angle\] XYC

Since XY||BC

So

\[\angle\] YBC = \[\angle\] BYC     (Alternate angles)

Now, in triangle BYC two angles are equal. Therefore, the two corresponding sides will be equal.

Hence, BC = CY

Hence option (a) is correct.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Triangles - Exercise 7.10 [पृष्ठ १३६]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 7 Triangles
Exercise 7.10 | Q 41 | पृष्ठ १३६

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