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

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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