If in two triangles DEF and PQR, ∠ D = ∠ Q and ∠ R = ∠ E, then which of the following is not true?

(A) EF/PR = DF/PQ 

(B) DE/PQ = EF/RP

(C) DE/QR = DF/PQ 

(D) EF/RP = DE/QR

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Transcript

Question 8 If in two triangles DEF and PQR, ∠ D = ∠ Q and ∠ R = ∠ E, then which of the following is not true? (A) EF/PR = DF/PQ (B) DE/P𝑄 = EF/RP (C) DE/QR = DF/PQ (D) EF/RP = D𝐸/QR Our triangles look like ∴ Δ DEF ~ Δ QRP Now, 𝐸𝐹/𝑃𝑅=𝐷𝐹/𝑃𝑄 So, (a) is true Also, 𝐷𝐸/𝑄𝑅=𝐷𝐹/𝑃𝑄 So, (c) is true And, EF/RP=𝐷𝐸/𝑄𝑅 So, (d) is true Thus, only (b) is not true So, the correct answer is (B)

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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.