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

If the tangents to the parabola y^2=4ax at the points (x_1,y_1) and ( (x_2,y_2) meet at the point (x_3,y_3) then

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

If the straight line y=mx+1 be the tangent of the parabola y^(2)=4x at the point (1,2) then the value of m will be-

The equation of the tangent to the parabola y^(2) = 4x at the point t is

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

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

x+y=2 and x-y= 2 are tangents on a parabola at (1,1) and (4,2) respectivley. Which of the followings is/are correct.

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is