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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

Tangents to the parabola at the points and meet at . Then Column I: (i) the length of the chord is (ii) the sum of the lengths of the tangents and is (iii) the inradius of is (iv) the circumradius of is Column II: (a) (b) (c) (d)

Answer: (2)

Solution

is the chord of contact (polar) of : , i.e. , which is the latus rectum. With we get and .

- **(i)** → **(c)**. - **(ii)** , so → **(a)**. - , so . This is

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Question ID VK-110272