If-z-3-i-5-2-then-the-locus-of-z-is-a-

Question Number 19735 by Tinkutara last updated on 15/Aug/17

If z = λ + 3 + i \sqrt{5 - λ^{2}}, then the locus

of z is a

Answered by ajfour last updated on 15/Aug/17

if we let z = x + iy

(x - λ - 3) + i (y - \sqrt{5 - λ^{2}}) = 0

\Rightarrow x = λ + 3; y^{2} = 5 - λ^{2}

or y^{2} = 5 - {(x - 3)}^{2}

{(x - 3)}^{2} + y^{2} = {(\sqrt{5})}^{2} . (circle)

Commented by Tinkutara last updated on 15/Aug/17

Thank you very much Sir!