ABCD is a rhombus whose diagonals intersect at E. Then EA  + EB + EC  +ED   equals to

(a) 0             (b) AD                (c) 2BD             (d) 2AD 

The rest of the post is locked. Join Teachoo Black to see the full post.

Go Ad-free

Transcript

In Rhombus ABCD , diagonals bisect each other at E Hence, |(𝑬𝑨) βƒ—| = |(𝑬π‘ͺ) βƒ—| |(𝑬𝑩) βƒ—| = |(𝑬𝑫) βƒ—| Since their magnitude is same, but direction is opposite we have (𝐸𝐴) βƒ— = βˆ’ (𝐸𝐢) βƒ— (𝑬𝑨) βƒ— + (𝑬π‘ͺ) βƒ— = 0 And, (𝐸𝐡) βƒ— = βˆ’ (𝐸𝐷) βƒ— (𝑬𝑩) βƒ— + (𝑬𝑫) βƒ— = 0 We need to find (𝑬𝑨) βƒ—+(𝑬𝑩) βƒ—+(𝑬π‘ͺ) βƒ—+(𝑬𝑫) βƒ— = (𝐸𝐴) βƒ—+(𝐸𝐢) βƒ—+(𝐸𝐡) βƒ—+(𝐸𝐷) βƒ— From (1) and (2) = 0 So, the correct answer is (a)

Davneet Singh's photo - Co-founder, Teachoo

Made by

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