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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Let be a circle with centre C(3,5) and P A and P B are pair of tangents drawn from an external point P(9,11) to the circle . Find the distance between the origin and the point inside the quadrilateral A C B P which is equidistant from its four vertices.

Correct answer

10

Step-by-step solution

The point inside the quadrilateral A C B P which is equidistant from all the four vertices is the centre M(6,8) of the circle described on P C as diameter. Hence, distance from origin to the point M is 36+64 = 100 =10

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