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Rotation of Axes

Chord of cont...

Question

Chord of contact of the point (3, 2) w.r.t. the circle $x^{2} + y^{2} = 25$ meets the coordinate axes in A and B. The

circumcentre of triangle OAB is

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DOES NOT EXIST

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Solution

The correct option is D
DOES NOT EXIST

Since S(3, 2) = 9 + 4 - 25 < 0, therefore (3, 2) lies inside the circle. So there exists no chord of contact and

hence $△ O A B$ does no exist.

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