0

Guest

Courses New

Please answer this question in detail formate. Thankyou.

Please answer this question in detail formate.
 
Thankyou.

Question Image
Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
basically what we wanna prove is (z1 – z2)/(z3 – z2)= 2(z3 – z1)/(z2 – z1)
now, modulus of both sides is same, and is equal to root 2. this is because of the properties of a isosceles triangle and pythagoras theorem.
now, as regards the argument, we make use of rotation theorem in complex plane. we see that argument if LHS is – 45 degree. similarly argument of (z3 – z1)/(z2 – z1) is – 45 degree. but that implies that argument of 2(z3 – z1)/(z2 – z1) is – 45 degree as well. since the modulus as well as the argument of the sides match we conclude that both sides are equal to each other. QED

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More