The normal to a curve at P(x, y) meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a

JEE Main 2007 Mathematics question

The normal to a curve at meets the -axis at . If the distance of from the origin is twice the abscissa of , then the curve is a

Answer: (1)

The normal at P meets the x-axis at . Taking G at (distance 2|x| from O on the opposite side): $x + yy' = -2x

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Question ID VK-038990