Equation of the tangent at the point t=-3 to the parabola `y^(2)=3x` is

Find equation of the tangent at the point (4,0) of the parabola x^(2)=4x+2y

If the equation of the tangent at the point P(3,4) on the parabola whose axis is the x - axis is 3x - 4y + 7 = 0 ,then distance of the tangent from the focus of the parabola is

Find the equation of the tangent with slopes 5 to the parabola y^(2)=20x , also find the coordinates of the point of contact of the tangent to the parabola.

If x+y =2 is a tangent to x^(2)+y^(2)=2 , then the equation of the tangent at the same point of contact to the circle x^(2)+y^(2)= 3x + 3y -4 is :

Let y=3x-8 be the equation of the tangent at the point (7, 13 ) lying on a parabola whose focus is at (-1,-1). Find the equation of directrix and the length of the latus rectum of the parabola.

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^(2)=4x

Find the equation of the tangent and normal to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

The equation of the tangent to the parabola y^(2)=16x, which is perpendicular to the line y=3x+7 is

The equation of the tangent to the parabola y^(2)=8x which is perpendicular to the line x-3y+8=0 , is