JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

When

\frac{{z + i}}{{z + 2}}

is purely imaginary, the locus described by the point

z

in the argand diagram is a

View answer and explanation

Correct option: A

Circle of radius

\;\frac{{\sqrt 5 }}{2}

Option A (Circle of radius

\;\frac{{\sqrt 5 }}{2}

) is correct because when

\frac{{z + i}}{{z + 2}}

is purely imaginary, the locus of z is a circle with the specified radius.

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