JEE Main 2014 Mathematics question

MathematicsCircleJEE Main 2014

If the point (1, 4) lies inside the circle and the circle does not touch or intersect the coordinate axes, then the set of all possible values of p is the interval

Answer: (3)

Solution

The circle has centre (3, −5) and radius . For it to miss the x-axis the radius must be less than 5, giving p > 9; to miss the y-axis it must be less than 3, giving p > 25. The "inside"

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Question ID VK-104416