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 August 14, 2026 by

In β–³ABC,DEβˆ₯AB. If AB=a,DE=x,BE=b and EC=c.

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

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

Β (c) ab/cΒ Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β  (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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[Sample Paper] In π›₯ ABC, DE β€– AB. If AB = a, DE = x, BE = b and EC = - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 8 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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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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