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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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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