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Question 6 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

∆ABC ~ ∆PQR. If AM and PN are altitudes of ∆ABC and ∆PQR respectively and AB2 : PQ2 = 4 : 9, then AM : PN =

(a) 16 : 81   (b) 4 : 9   (c) 3 : 2   (d) 2 : 3

Transcript

Question 6 ∆ABC ~ ∆PQR. If AM and PN are altitudes of ∆ABC and ∆PQR respectively and AB2 : PQ2 = 4 : 9, then AM : PN = (a) 16 : 81 (b) 4 : 9 (c) 3 : 2 (d) 2 : 3 Given AB2 : PQ2 = 4 : 9 (𝐴𝐵^2)/(𝑃𝑄^2 )=4/9 (𝐴𝐵/𝑃𝑄)^2=(2/3)^2 𝑨𝑩/𝑷𝑸=𝟐/𝟑 Now, When two triangles are similar Ratio of their altitudes = Ratio of their sides Thus, 𝑨𝑴/𝑷𝑵=" " 𝑨𝑩/𝑷𝑸 𝑨𝑩/𝑷𝑸=𝟐/𝟑 So, the correct answer is (d)
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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 and Computer Science at Teachoo