If |z1|=15 and |z2-3-4i|=5,t h e n...

If `|z_1|=15 and |z_2-3-4i|=5,t h e n`

A

`|z_(1) - z_(2)|_("min") = 5`

B

`|z_(1) -z_(2)|_("min") = 10`

C

`|z_(1)-z_(2)|_("min") = 20 `

D

`|z_(1) - z_(2)|_("min") = 25`

Text Solution

Verified by Experts

The correct Answer is:

A, D

We have , `|z_(1)| = 15, |z_(2) - 3- 4i| = 5`

Minimun value of `|z_(1) - z_(2)|` is `AB = OB - OA = 15 - 10= 5`
Maximum value of `|z_(1) - z_(2)|` is `CA = OA + OC = 10 + 15 = 25`

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