JEE Math Practice Question
Let the circle S : 36x2 + 36y2 $$-$$ 108x + 120y + 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.$${{25} \over 9} < C < {{13} \over 3}$$
- B.100 < C < 165
- C.81 < C < 156
- D.100 < C < 156
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