JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) The focus of the parabola is (ii) The centre of the ellipse is (iii) The vertex of the parabola is (iv) The tangents at the ends of the double ordinate through the focus of meet at Column II: (a) (b) (c) (d)

Answer: (1)

Solution

**(i)** . With and this is , whose focus is at , i.e. → **(c)**. - **(ii)** , i.e. , with centre → **(d)**. - **(iii)** Rearranging, . The lines

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Question ID VK-110283