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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_(2)=x^(2)+y^(2)+6x+y+8=0`,
`S_(3)=x^(2)+y^(2)-4x-4y-37=0`
touches the other two. Let `P_(1), P_(2), P_(3)` be the points of contact of `S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1)` respectively and `C_(1), C_(2), C_(3)` be the centres of `S_(1), S_(2), S_(3)` respectively.
Q. The ratio `("area"(DeltaP_(1)P_(2)P_(3)))/("area"(Delta C_(1)C_(2)C_(3)))` is equal to :

A

`3:2`

B

`2:5`

C

`5:3`

D

`2:3`

Text Solution

Verified by Experts

The correct Answer is:
B
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