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An isosceles triangle with base 24 and l...

An isosceles triangle with base 24 and legs 15 each is inscribed in a circle`. Find the radius

A

`4(x^(2)+y^(2)) +8x - 8y - 73 = 0`

B

`2(x^(2)+y^(2)) +4x - 4y - 31 = 0`

C

`2(x^(2)+y^(2)) +4x - 4y - 21 = 0`

D

`4(x^(2)+y^(2)) +8x - 8y - 161 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D

`(r-9)^(2) + 12^(2) = r^(2)`
`rArr 81 - 18r +144 = 0`
`rArr r = (255)/(18) = (25)/(2)`
Locus is a concentric circle with radius PG.
`PG = (r-9) +(1)/(3) (9)`
`= r - 6`
`=(25)/(2) -6 = (13)/(2)`
Lcus is `(x+1)^(2) +(y-1)^(2) = ((13)/(2))^(2)`
`rArr x^(2) + y^(2) +2x -2y -(161)/(4) =0`
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