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Let z1a n dz2 be complex numbers such th...

Let `z_1a n dz_2` be complex numbers such that `z_1!=z_2` and `|z_1|=|z_2|dot` If `z_1` has positive real part and `z_2` has negative imaginary part, then `(z_1+z_2)/(z_1-z_2)` may be zero (b) real and positive real and negative (d) purely imaginary

A

cannot be zero

B

is real and positive

C

is real and negative

D

is purely imaginary

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The correct Answer is:
d
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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  12. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  13. If n is a positive integer greater than unity z is a complex number sa...

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  16. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  17. The center of a regular polygon of n sides is located at the point z=0...

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  18. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

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