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The normal to a curve at P(x , y) meet t...

The normal to a curve at `P(x , y)` meet the x-axis at `Gdot` If the distance of `G` from the origin is twice the abscissa of `P` , then the curve is a (a) parabola (b) circle (c) hyperbola (d) ellipse

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To solve the problem, we need to analyze the given conditions step by step. ### Step 1: Understand the problem We have a curve at point \( P(x, y) \). The normal to this curve at point \( P \) meets the x-axis at point \( G \). The distance of point \( G \) from the origin is twice the abscissa (x-coordinate) of point \( P \). ### Step 2: Write the equation of the normal The equation of the normal to the curve at point \( P(x, y) \) can be expressed as: \[ ...
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