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

If `|z_1|=15a d n|z_2-3-4i|=5,t h e n` `(|z_1-z_2|)_(m in)=5` b. `(|z_1-z_2|)_(m in)=10` c. `(|z_1-z_2|)_(m a x)=20` d. `(|z_1-z_2|)_(m a x)=25`

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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