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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Tangents are drawn from the point to the circle . STATEMENT-1: The tangents are mutually perpendicular. STATEMENT-2: The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is .

Answer: (A)

Solution

The director circle of (locus of points from which the two tangents are perpendicular) is . Here , so the director circle is :

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Question ID VK-110646