JEE Advanced 2011 Mathematics question
The straight line 2x − 3y = 1 divides the circular region into two parts. If
S = {(2, ), (, ), (, -), (, )},
then the number of point(s) in S lying inside the smaller part is
Answer: 2
Solution
The centre (0, 0) gives , so the larger part (containing the centre) is where and the smaller part is where (inside the circle). Check each point. : and : in the smaller part.
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