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

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

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.

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

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.

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

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

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 :