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Let z1=3 and z2=7 represent two points A...

Let `z_1=3` and `z_2=7` represent two points A and B respectively on complex plane . Let the curve `C_1` be the locus of pint P(z) satisfying `|z-z_1|^2 + |z-z_2|^2 =10` and the curve `C_2` be the locus of point P(z) satisfying `|z-z_1|^2 + |z-z_2|^2 =16`
The locus of point from which tangents drawn to `C_1` and `C_2` are perpendicular , is :

A

|z-5|=4

B

|z-3|=2

C

|z-5|=3

D

|z-5|=`sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
D
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