Home
Class 12
MATHS
On the set C of all complex numbers a...

On the set `C` of all complex numbers an operation `'o'` is defined by `z_1\ o\ z_2=sqrt(z_1z_2)` for all `z_1,\ z_2 in C` . Is `o` a binary operation on `C` ?

Promotional Banner

Similar Questions

Explore conceptually related problems

On the set C of all complex numbers an operation o' is defined by z_(1) o z_(2)=sqrt(z_(1)z_(2)) for all z_(1),z_(2)in C. Is o a binary operation on C?

An operation ** on the set of all complex numbers CC is defined by z_(1)**z_(2)=sqrt(z_(1)z_(2)) for all z_(1),z_(2)inCC . Is ** a binary operation on CC ?

On the set Z of all integers a binary operation ** is defined by a**b=a+b+2 for all a ,\ b in Z . Write the inverse of 4.

Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in Z define a binary operation on the given set or not:

On the set Z of all integers a binary operation * is defined by a*b=a+b+2 for all a,b in Z. Write the inverse of 4.

For all two complex numbers z1 and z2,prove that Re(z1z2)=Re z1 Re z2-Im z1 Im z2

A relation R on the set of complex number is defined by z_1 R z_2 iff (z_1 - z_2)/(z_1+z_2) is real ,show that R is an equivalence relation.

A relation R on the set of complex numbers is defined by z_1 R z_2 if and only if (z_1-z_2)/(z_1+z_2) is real Show that R is an equivalence relation.

A relation R on the set of complex numbers is defined by z_1 R z_2 if and oly if (z_1-z_2)/(z_1+z_2) is real Show that R is an equivalence relation.