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Question -

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



Answer -

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

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

The slope of the tangent atis 

Then, the equation of thetangent atis given by,

y − 2at =

Now, the slope of thenormal atis given by,

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

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