Given below are two statements: If $z_1$ and $z_2$ are complex numbers Statement-1 : $arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)$ Statement-II : $|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)$ In the light of the above statements, choose the correct answer from the options given below.

Question

Given below are two statements: If $z_1$  and  $z_2$  are complex numbers Statement-1 :  $arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)$ Statement-II :  $|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)$ In the light of the above statements, choose the correct answer from the options given below.

cdquestions Admin · Accepted Answer

Statement-I is correct but Statement-II is false

Given below are two statements:
If \(z_1\) and \(z_2\) are complex numbers
Statement-1 : \(arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)\)
Statement-II : \(|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)\)
In the light of the above statements, choose the correct answer from the options given below.

The Correct Option is C

Solution and Explanation

Top Questions on Complex Numbers

Questions Asked in CUET PG exam

Given below are two statements:If \(z_1\) and \(z_2\) are complex numbersStatement-1 : \(arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)\)Statement-II : \(|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)\)In the light of the above statements, choose the correct answer from the options given below.

The Correct Option is C

Solution and Explanation

Top Questions on Complex Numbers

Questions Asked in CUET PG exam

Given below are two statements:
If \(z_1\) and \(z_2\) are complex numbers
Statement-1 : \(arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)\)
Statement-II : \(|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)\)
In the light of the above statements, choose the correct answer from the options given below.