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

 

If ∆ ABC ~ ∆ EDF and ∆ ABC is not similar to ∆ DEF - MCQ - Triangles - NCERT Exemplar - MCQ

part 2 - Question 5 - NCERT Exemplar - MCQ - Serial order wise - Chapter 6 Class 10 Triangles

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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 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