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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

The equation of a circle is . The locus of the intersection of orthogonal tangents to the circle is the curve and the locus of the intersection of perpendicular tangents to the curve is the curve . Then

Answer: (A),(C)

Solution

The locus of the point of intersection of perpendicular tangents to is its director circle (the tangents and the radii to the points of contact form a square of side , whose

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Question ID VK-108979