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pallavi pradeep bhardwaj Grade: 12
        

The equation of the tangent at the point P(t) where t is any parametre to the parabola y^2=4ax is

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Pallavi


we know that any point on parabola  in parametric form is (at2,2at)


 


and we know that at any point (x1,y1) on parabola equation of tangent is


 yy1 =2a(x+x1)  


now put ( at2,2at) in place of x1,y1


y2at = 2a(x+at2)


yt=x+at2    


  above equation is the equation of tangent




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Badiuddin

7 years ago
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