JEE PYQ

[JEE Main 2007] if z 4 3 then the maximum value of z 1 is

VAVidaara Admin Asked 2d ago 0 views 1 answer

If $|z+4|\le3$, then the maximum value of $|z+1|$ is

(a) $6$
(b) $0$
(c) $4$
(d) $10$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (a) $6$

$z$ lies in the disc centred at $-4$ of radius $3$; the farthest point from $-1$ is at distance $|{-1}-({-4})|+3=3+3=6$.

JEE Main 2007 · Complex Numbers — verified solution by the Vidaara Team.

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