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Let the circle S : 36x^(2) + 36y^(2) - 1...

Let the circle `S : 36x^(2) + 36y^(2) - 108 x + 120 y + C = 0` be such that it neither intersects nor touches the co-ordinate axes. If the point of intersection of the lines, `x – 2y = 4` and `2x – y = 5` lies inside the circle S, then :

A

`(25)/(9) lt C lt (13)/(3)`

B

`100 lt C lt 165`

C

`81 lt C lt 156`

D

`100 lt C lt 156`

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