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

The area of the region bounded by the parabola (y-2)^(2)=x-1 , the tangent to the parabola at the point (2,3) and the x-axis is

The area of the region bounded by the parabola (y-2)^(2) = x- 1 , the tangent to the parabola at the point (2,3) and the x-axis is

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

The area of the figure bounded by the parabola (y-2)^(2)=x-1, the tangent to it at the point with the ordinate y=3, and the x-axis is

Consider the following lines : L_(1) : x-y-1=0 L_(2):x+y-5=0 L_(3):y-4=0 Let L_(1) is axis to a parabola, L_(2) is tangent at the vertex to this parabola and L_(3) is another tangent to this parabola at some point P. Let 'C' be the circle circumscribing the triangle formed by tangent and normal at point P and axis of parabola. The tangent and normals at normals at the extremities of latus rectum of this parabola forms a quadrilateral ABCD. Q. The equation of the circle 'C' is :

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

Find the point on the parabola y=(x-3)^2, where the tangent is parabola to the line joining (3,0) and (4,1

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