The tangents to the parabola `y^2=4x` at the points (1, 2) and (4,4) meet on which of the following lines?

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to

Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the axis at P_(1)andP_(2) . If S is the focal of the parabola, Then (1)/(SP_(1))+(1)/(SP_(2)) is equal to

The line 4x+2y = c is a tangent to the parabola y^(2) = 16x then c is :

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot

Column I, Column II Points from which perpendicular tangents can be drawn to the parabola y^2=4x , p. (-1,2) Points from which only one normal can be drawn to the parabola y^2=4x , q. (3, 2) Point at which chord x-y-1=0 of the parabola y^2=4x is bisected., r. (-1,-5) Points from which tangents cannot be drawn to the parabola y^2=4x , s. (5,-2)

The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meet its axis at points T and N, respectively. The locus of the centroid of the triangle PTN is a parabola whose:

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Let PQ be a focal chord of the parabola y^(2)=4ax . The tangents to the parabola at P and Q meet at point lying on the line y=2x+a,alt0 . If chord PQ subtends an angle theta at the vertex of y^(2)=4ax , then tantheta=