CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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

Last updated at Dec. 13, 2024 by

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 βˆ₯ AB ∠ ABC = ∠ DEC Also, ∠ ACB = ∠ DE Thus, by AA Similarity Ξ” ABC ~ Ξ” DECSince sides are proportional in similar triangles 𝐴𝐡/𝐷𝐸 = 𝐡𝐢/𝐢𝐸 𝒂/𝒙=(𝒃 + 𝒄)/𝒄 π‘Žπ‘/(𝑏 + 𝑐)=π‘₯ 𝒙=𝒂𝒄/(𝒃 + 𝒄) So, the correct answer is (b)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo