Check sibling questions

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

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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.