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

Last updated at March 29, 2023 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

Get live Maths 1-on-1 Classs - Class 6 to 12

Book 30 minute class for ~~₹ 499~~ ₹ 299

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)

Next: Question 7 → Ask a doubt

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.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular