JEE Main 2015 Mathematics question

Mathematics Parabola JEE Main 2015

If be a double ordinate of the parabola, , where lies in the second quadrant. If divides in the ratio , then the locus of is:

(1)
(2)
(3)Correct
(4)

Answer: (3)

Solution

The parabola opens to the left, so points on it have ; parametrise them as , which satisfies ✓. A double ordinate is the chord perpendicular to the axis, so take with (second quadrant: , ) and $Q =

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Question ID VK-115386