Let z1 and z2 be any 2 complex number.Now, Statement 1:|z1 - z2| = |z1| - |z2| Statement 2:|z1 + z2|

Question

Let z1 and z2 be any 2 complex number.Now, Statement 1:|z1 - z2| >= |z1| - |z2| Statement 2:|z1 + z2|<= |z1| + |z2| Are both correct?And is statement 2 a correct explanation of statement 1?

Jitender Singh · Answer

Ans: Hello Student, Please find answer to your question below Triangular Inequality: So They are true on their own. So both statement are true independently and statement 2 is not an explanation of statement 1.

Abhishek Pachauri · Answer

both are correct but statement 2 is not a correct explanation or statement 1.

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Let z1 and z2 be any 2 complex number.Now, Statement 1:|z1 - z2| >= |z1| - |z2| Statement 2:|z1 + z2| Are both correct?And is statement 2 a correct explanation of statement 1?

Let z1 and z2 be any 2 complex number.Now,

Statement 1:|z1 - z2| >= |z1| - |z2|

Statement 2:|z1 + z2|<= |z1| + |z2|

Are both correct?And is statement 2 a correct explanation of statement 1?

2 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

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

Complete Self Study Package designed by Industry Leading Experts

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

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

Register Now & Win Upto 25% Scholorship