The equation of the locus of the point (1+ r4, -1+ r3, 2 ), where r R, is given by

JEE Advanced Mathematics question

The equation of the locus of the point , where , is given by

Answer: (B)

Let be the point. Then . So , and dividing by 12:

=(=), γ=2 .

This is the line through with

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Question ID VK-109834