If Z1 and Z2 are two complex numbers, then Z1-Z2 represents

Question

If Z1 and Z2 are two complex numbers, then Z1-Z2 represents (A) a complex number which is sum of Z1 and additive inverse of Z2 (B) a complex number which is difference of Z1 and additive inverse of Z2 (C) distance between Z1 and Z2 (D) None of the above

Tardigrade Admin · Accepted Answer

Since, difference of two complex numbers is also a complex number and z1-z2 can be written as z1+(-z2), which is sum of z1 and additive inverse of z2.

Q. If $Z_{1}$ and $Z_{2}$ are two complex numbers, then $Z_{1} - Z_{2}$ represents

a complex number which is sum of $Z_{1}$ and additive inverse of $Z_{2}$

a complex number which is difference of $Z_{1}$ and additive inverse of $Z_{2}$

distance between $Z_{1}$ and $Z_{2}$

None of the above

Since, difference of two complex numbers is also a complex number and $z_{1} - z_{2}$ can be written as $z_{1} + (- z_{2})$ , which is sum of $z_{1}$ and additive inverse of $z_{2}$ .

Q. If Z1​ and Z2​ are two complex numbers, then Z1​−Z2​ represents

a complex number which is sum of Z1​ and additive inverse of Z2​

a complex number which is difference of Z1​ and additive inverse of Z2​

distance between Z1​ and Z2​