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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

In the parabola , a chord passing through the point cuts the parabola at and . If and the tangents at and meet at then match the following. Column I: (i) The focus is (ii) The centroid of the is (iii) The circumcentre of the is (iv) The orthocentre of the is Column II: (a) (b) (c) (d)

Answer: (2)

Solution

**(i)** . With this is , whose focus is , i.e. → **(b)**. So is a focal chord. - **Finding :** joins and , so it is . Substituting, , i.e. , so or . Hence

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Question ID VK-110286