If $| z - 8 | = m a x {| z + 2 |, | z - 4 |}$ , then $z$ lies on

Circle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A straight line

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A pair of circles

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A pair of straight lines

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D A pair of straight lines
$| z - 8 | = m a x {| z + 2 |, | z - 4 |}$

$∴ z$ lies on a pair of lines.
Hence, the answer is a pair of straight lines.

Suggest Corrections

Similar questions

z^{2} + z | z | + | z |^{2} = 0

If arg $⟮ \frac{z - i}{z + i} ⟯$ = $\frac{π}{4}$ , then z represents a point on

| z^{2} - 1 | = | z |^{2} + 1

z

z

arg (\frac{z - 2}{2 z + 3 i}) = 0

z

z

z^{2} + z | z | + | z |^{2} = 0,

z

Join BYJU'S Learning Program