If ∣z−6−8i∣≤4 then Minimum value of ∣z∣ is A) 4 B) 5 C) 6 D) 8.


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Question Number 32049 by rahul 19 last updated on 18/Mar/18

$I f ∣ z - 6 - 8 i ∣⩽ 4 t h e n M i n i m u m v a l u e$ $o f ∣ z ∣ i s$ $A) 4$ $B) 5$ $C) 6$ $D) 8 .$
	Answered by mrW2 last updated on 18/Mar/18

	$\sqrt{6^{2} + 8^{2}} - 4 = 6$ $\Rightarrow a n s w e r C)$
	Commented by rahul 19 last updated on 18/Mar/18

	$t h a n k u s i r!$
	Answered by Tinkutara last updated on 18/Mar/18

	Commented by Tinkutara last updated on 18/Mar/18

	$I n q u e s t i o n ∣ z - 6 - 8 i ∣⩽ 4$ $y o u w r o t e ∣ z - 6 - 8 i ∣⩽∣ z ∣ + ∣ - 6 - 8 i ∣$ $I n g e n e r a l a ⩽ b a n d a ⩽ c ⇏ b = c$ $e . g . 5 ⩽ 10 a n d 5 ⩽ 20 b u t 10 \neq 20$ $W e c a n n o t c o m p a r e b a n d c .$
	Commented by rahul 19 last updated on 18/Mar/18

	$c h e c k m y m e t h o d, w h e r e a m i w r o n g ?$
	Commented by rahul 19 last updated on 18/Mar/18

	$o k, t h a n k s!$
	Commented by Tinkutara last updated on 18/Mar/18
	Locus of z is a circle and its inside. Hence calculating the minimum distance from origin.
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