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

(a) x=(a + b)/ay    (b) y=ax/(a + b)

(c) x=ay/(a + b)    (d) x/y=a/b

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Transcript

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

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.