Let c be the locus of the mirror image of point on the parabola `y^2=4x` w.r.t to line x=y . Then equation of tangent to c at p(2,1) is

Let C be the locus of the mirror image of a point on the parabola y^(2)=4x with respect to the line y=x. Then the equation of tangent to C at P(2, 1) is :

The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t. the directrix is

Let the curve C be the mirror image of the parabola y^(2)=4x with respect to the line x+y+4=0. If A and B are the points of intersection of C with the line y=-5, then the distance between A and B is

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

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

The mirror image of the parabola y^(2)=4x in the tangent to the parabola at the point (1,2) is:

(a) Find the slope of the tangent to the cube parabola y = x^(3) at the point x=sqrt(3)/(3) (b) Write the equations of the tangents to the curve y = (1)/(1+x^(2)) at the 1 points of its intersection with the hyperbola y = (1)/(x+1) (c) Write the equation of the normal to the parabola y = x^(2) + 4x + 1 perpendicular to the line joining the origin of coordinates with the vertex of the parabola. (d) At what angle does the curve y = e^(x) intersect the y-axis

The tangent to the parabola y^(2)=4(x-1) at (5,4) meets the line x+y=3 at the point