Question 8 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

In △ABC,DE∥AB. If AB=a,DE=x,BE=b and EC=c.

Then x expressed in terms of a, b and c is:

(a) ac/b (b) ac/(b+c)

(c) ab/c (d) ab/(b+c)

This question is similar to Question 11 CBSE Class 10 Sample Paper for 2022 Boards- Maths Basic

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Transcript

Since DE ∥ AB ∠ ABC = ∠ DEC Also, ∠ ACB = ∠ DE Thus, by AA Similarity Δ ABC ~ Δ DECSince sides are proportional in similar triangles 𝐴𝐵/𝐷𝐸 = 𝐵𝐶/𝐶𝐸 𝒂/𝒙=(𝒃 + 𝒄)/𝒄 𝑎𝑐/(𝑏 + 𝑐)=𝑥 𝒙=𝒂𝒄/(𝒃 + 𝒄) So, the correct answer is (b)

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