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Find the equations of the tangent and normal to the parabola y2 = 4ax at the point (at2, 2at).
Asked by Neerajchalam Last Modified
Answer 
Harshit Bhardwaj
The equation of the given parabola is y2 = 4ax.
On differentiating y2 = 4ax with respect to x, we have:
∴The slope of the tangent at
is 
Then, the equation of the tangent atis given by,
y − 2at =
Now, the slope of the normal atis given by,
Thus, the equation of the normal at (at2, 2at) is given as:
Sherine Das
Well Qualified and Certified Mathematics B.Ed(M.G Usty)Teacher with more than13 years of Experience
Sherine Das
Well Qualified and Certified Mathematics B.Ed(M.G Usty)Teacher with more than13 years of Experience
View 3 more Answers
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