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Find the Equations of the Tangent and Normal to the Parabola Y2 = 4ax at the Point (At2, 2at).

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Question

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

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Solution

The equation of the given parabola is y2 = 4ax.

On differentiating y2 = 4ax with respect to x, we have:

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Chapter 6: Application of Derivatives - Exercise 6.3 [Page 213]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.3 | Q 22 | Page 213
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