Short Quiz

Question 1 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 2 of 5

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If \(f(z)=\frac{7-z}{1-z^2}\), where \(z=1+2 i\), then \(|f(z)|\) is

A \(\frac{|z|}{2}\) B \(|z|\) C \(2|z|\) D none of these.

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Question 3 of 5

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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 4 of 5

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

A positive B negative C 0 D can not be evaluated

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Question 5 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

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Class 6