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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

and are two points on the curve , where , being the origin. The equation of the tangent to the curve at is . The equation of the tangent to the curve at is

Answer: (B),(D)

Solution

The curve is the circle with centre O and radius (take ). Let . The tangent at P is .

Write the given tangent in the same form: becomes . So and $φ =

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Question ID VK-110136