Short Quiz

Question 1 of 5

NCERT Exemplar

The value of \((z+3)(\bar{z}+3)\) is equivalent to

A \(|z+3|^2\) B \(|z-3|\) C \(z^2+3\) D None of these

Select an option to see the answer, or skip this question.

Question 2 of 5

NCERT Exemplar

Number of solutions of the equation \(z^2+|z|^2=0\) is

A 1 B 2 C 3 D infinitely many

Select an option to see the answer, or skip this question.

Question 3 of 5

NCERT Exemplar

If \(a+i b=c+i d\), then

A \(a^2+c^2=0\) B \(b^2+c^2=0\) C \(b^2+d^2=0\) D \(a^2+b^2=c^2+d^2\)

Select an option to see the answer, or skip this question.

Question 4 of 5

NCERT Exemplar

If the complex number \(z=x+i y\) satisfies the condition \(|z+1|=1\), then \(z\) lies on

A \(x\)-axis B circle with centre \((1,0)\) and radius 1 C circle with centre (-1, 0) and radius 1 D \(y\)-axis

Select an option to see the answer, or skip this question.

Question 5 of 5

NCERT Exemplar

\(1+i^2+i^4+i^6+\cdots+i^{2 n}\) is

A positive B negative C 0 D can not be evaluated

Select an option to see the answer, or skip this question.

Class 6