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Circle question

2021 · 22 Jul · Shift 2 · Q33
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  5. /2021 · 22 Jul · Shift 2 · Q33

Circle question

2021 · 22 Jul · Shift 2 · Q33

JEE MainMathematicsCircleMCQ+4 / −1
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 :
  1. A
    259<C<133{{25} \over 9} \lt C \lt {{13} \over 3}925​<C<313​
  2. B
    100 < C < 165
  3. C
    81 < C < 156
  4. D
    100 < C < 156
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