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Z1!=Z2 are two points in an Argand plane...

`Z_1!=Z_2` are two points in an Argand plane. If `a|Z_1|=b|Z_2|,` then prove that `(a Z_1-b Z_2)/(a Z_1+b Z_2)` is purely imaginary.

A

in the 1st quadrant

B

in the 3rd quadrant

C

on the real axis

D

on the imaginary axis

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If z is a point on the Argand plane such that |z - 1| = 1 " thea " ( z - 2)/( z) is equal to

    A
    tan (arg z)
    B
    cot (arg z)
    C
    i tan (arg z)
    D
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