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Find the equations of the tangent and normal to the parabola y^2 = 4ax at the point (at^2, 2at).

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asked Jan 20, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 450 ● 1293
edited Mar 7, 2018 by faiz

Find the equations of the tangent and normal to the parabola y2 = 4ax at the point (at2, 2at).

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answered Jan 20, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 23
edited Mar 7, 2018 by faiz
 
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The equation of the given parabola is y2 = 4ax.
On differentiating y2 = 4ax with respect to x, we have:

Thus, the equation of the normal at (at2, 2at) is given as:

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