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Circle question

2011 · Shift 2 · Q25

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PYQ Library
JEE Advanced
Mathematics
Circle
2011 · Shift 2 · Q25

Circle question

2011 · Shift 2 · Q25

JEE AdvancedMathematicsCircleNumerical+2 / −1

The straight line 2x - 3y = 1 divides the circular region

{x^2}\, + \,{y^2}\, \le \,6

into two parts. If

S = \left\{ {\left( {2,\,{3 \over 4}} \right),\,\left( {{5 \over 2},\,{3 \over 4}} \right),\,\left( {{1 \over 4} - \,{1 \over 4}} \right),\,\left( {{1 \over 8},\,{1 \over 4}} \right)} \right\}

then the number of points (s) in S lying inside the smaller part is

Numerical answer

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