If ∆ ABC ~ ∆ EDF and ∆ ABC is not similar to ∆ DEF, then which of the following is not true?

(A) BC . EF = AC. FD  

(B) AB . EF = AC . DE

(C) BC . DE = AB . EF  

(D) BC . DE = AB . FD

 

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Transcript

Question 5 If ∆ ABC ~ ∆ EDF and ∆ ABC is not similar to ∆ DEF, then which of the following is not true? (A) BC . EF = AC. FD (B) AB . EF = AC . DE (C) BC . DE = AB . EF (D) BC . DE = AB . FD Since Thus, 𝑩𝑪/𝑫𝑭=𝑨𝑪/𝑬𝑭 BC × EF = AC × DF So, (a) is true So, the correct answer is (C) Now, 𝑨𝑩/𝑬𝑫=𝑨𝑪/𝑬𝑭 AB × EF = AC × ED So, (b) is true Also, 𝑨𝑩/𝑬𝑫=𝑩𝑪/𝑫𝑭 AB × DF = BC × ED So, (d) is true Thus, only (c) is not true 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.