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

Slide17.JPG

Slide18.JPG

This video is only available for Teachoo black users

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.