Short Quiz

Question 1 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

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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

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Question 3 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

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Question 4 of 5

NCERT Exemplar

If \(z=x+i y\) lies in the third quadrant, then \(\frac{\bar{z}}{z}\) also lies in the third quadrant if

A \(x>y>0\) B \(x<y<0\) C \(y<x<0\) D \(y>x>0\)

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Question 5 of 5

NCERT Exemplar

If \(\left(\frac{1+i}{1-i}\right)^x=1\), then

A \(x=2 n+1\) B \(x=4 n\) C \(x=2 n\) D \(x=4 n+1\), where \(n \in \mathrm{~N}\)

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Class 6