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Let `C` be a curve which is the locus of the point of intersection of lines `x=2+m` and `m y=4-mdot` A circle `s-=(x-2)^2+(y+1)^2=25` intersects the curve `C` at four points: `P ,Q ,R ,a n dS` . If `O` is center of the curve `C ,` then `O P^2+O P^2+O R^2+O S^2` is 50 (b) 100 (c) 25 (d) `(25)/2`

A

`25`

B

`50`

C

`100`

D

`200`

Text Solution

Verified by Experts

The correct Answer is:
C
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