" If "x=t^(2)" and "y=2t," then equation of the normal at "t=1" is "

Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve Find the equation of the normal at t=2.

Show that the locus represented by x = 1/2 a (t + 1/t) , y = 1/2 a (t - 1/t) is a rectangular hyperbola. Show also that equation to the normal at the point 't' is x/(t^(2) + 1) + y/(t^(2) - 1) = a/t .

Find the equation of the normal at the specified point to each of the following curves x= a( 2 cos t+ cos 2t), y= a (2 sin t- sin 2t) at t=(pi)/(2)

Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a xdot Then the equation of the tangent at the foot of this normal is y=(b/a)x+((a^2)/b)dot Statement 2: The equation of normal at any point P(a t^2,2a t) to the parabola y^2 = 4a x is y=-t x+2a t+a t^3

Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a xdot Then the equation of the tangent at the foot of this normal is y=(b/a)x+((a^2)/b)dot Statement 2: The equation of normal at any point P(a t^2,2a t) to the parabola y^2 = 4ax is y=-t x+2a t+a t^3

Find the equation of normal to the curves x=t^2, y=2t+1 at point

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equation of normal to the curves x=t^(2),y=2t+1 at point

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)