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Let each of the circles S(1)-=x^(2)+y^...

Let each of the circles
`S_(1)-=x^(2)+y^(2)+4y-1=0`
`S_(1)-= x^(2)+y^(2)+6x+y+8=0`
`S_(3)-=x^(2)+y^(2)-4x-4y-37=0`
touch the other two. Also, let `P_(1),P_(2)` and `P_(3)` be the points of contact of `S_(1)` and `S_(2) , S_(2)` and `S_(3)`, and `S_(3)` , respectively, `C_(1),C_(2)` and `C_(3)` are the centres of `S_(1),S_(2)` and `S_(3)` respectively.
The ratio `("area"(DeltaP_(1)P_(2)P_(3)))/("area"(DeltaC_(1)C_(2)C_(3)))` is equal to

A

`y=x+1`

B

`y=-x`

C

`y=x`

D

`y=-x+2`

Text Solution

Verified by Experts

The correct Answer is:
C
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