Home
Class 12
MATHS
For any two complex numbers z1,z2 and an...

For any two complex numbers `z_1,z_2` and any real numbers `aa n db ,|a z_1-b z_2|^2+|b z_1+a z_2|^2=`

A

`(a^(2)+b^(2))(|z_(1)|^(2)+|z_(2)|^(2))`

B

`(a^(2)-b^(2))(|z_(1)|^(2)-|z_(2)|^(2))`

C

`a^(2)+b^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

For any two complex numbers z_(1),z_(2) and any real numbers a and b,|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)=...

For any two complex numbers, z_(1),z_(2) and any two real numbers a and b, |az_(1)-bz-(2)|^(2)+|bz_(1)+az_(2)|^(2)=

For any two complex numbers z_(1) and z_(2) and any two real numbers a,b find the value of |az_(1)-bz_(2)|^(2)+|az_(2)+bz_(1)|^(2)

For any two complex numbers z_(1),z_(2) the values of |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) , is

For any two complex numbers z_(1) and z_(2), we have |z_(1)+z_(2)|^(2)=|z_(1)|^(2)+|z_(2)|^(2), then