0

Guest

Courses New

the points A, B and C represent the complex numbers z1, z2, (1-i)z1 + iz2. respectively on complex plane. The triangle ABC is (right triangle, isoceles.........)

the points A, B and C represent the complex numbers
z1, z2, (1-i)z1 + iz2. respectively on complex plane. The triangle ABC is (right triangle, isoceles.........)

Grade:Upto college level

1 Answers

Pramod J AskiitiansExpert-IIT-B
36 Points
13 years ago

Dear student,

length of AB = |z1-z2|

length of BC = |1-i||z1-z2| = 2^0.5*|z1-z2|

length of AC = |-i||z1-z2| = |z1-z2|

this implies |AB| = |AC| and |BC| = square root of sum of squares of both AB and AC

so the triangle is right angle isosceles triangle

i hope it explains !!!

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