In the given figure, DE II BC. Which of the following is true?

(a) x=(a + b)/ayΒ  Β  (b) y=ax/(a + b)

(c) x=ay/(a + b)Β  Β  (d) x/y=a/b

[MCQ] In figure, DE II BC. Which of the following is true? (a) x = a+b - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 11 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 11 In the given figure, DE II BC. Which of the following is true? (a) π‘₯=(π‘Ž + 𝑏)/π‘Žπ‘¦ (b) 𝑦=π‘Žπ‘₯/(π‘Ž + 𝑏) (c) π‘₯=π‘Žπ‘¦/(π‘Ž + 𝑏) (d) x/𝑦=π‘Ž/𝑏 Since DE βˆ₯ BC ∠ ADB = ∠ ABD ∠ AED = ∠ ACB Thus, by AA Similarity Ξ” ADE ~ Ξ” ABC Since sides are proportional in similar triangles 𝐴𝐸/𝐴𝐢=𝐷𝐸/𝐡𝐢 𝒂/(𝒂 + 𝒃)=𝒙/π’š π‘Žπ‘¦/(π‘Ž + 𝑏)=π‘₯ 𝒙=π’‚π’š/(𝒂 + 𝒃) So, the correct answer is (c)

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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