If the tangent drawn at a point `(t^(2),2t)` on the parabola `y^(2)=4x` is same as normal drawn at `(sqrt(5)cosalpha, 2sinalpha)` on the ellipse `(x^(2))/(5)+(y^(2))/(4)=1`, then which of following is not true ?

If the tangent drawn at point (t^(2),2t) on the parabola y^(2)=4x is the same as the normal drawn at point (sqrt(5)cos theta,2sin theta) on the ellipse 4x^(2)+5y^(2)=20 ,then theta=cos^(-1)(-(1)/(sqrt(5)))( b) theta=cos^(-1)((1)/(sqrt(5)))t=-(2)/(sqrt(5))(d)t=-(1)/(sqrt(5))

The angle between the tangents drawn from the point (1,4) to the parabola y^(2)=4x is

The angle between the tangents drawn from the point (4, 1) to the parabola x^(2)=4y is

The angle between the tangents drawn from the point (2, 6) to the parabola y^(2)-4y-4x+8=0 is

The angle between the tangents drawn form the point (3, 4) to the parabola y^(2)-2y+4x=0 , is

Tangent are drawn from the point (-1,2) on the parabola y^(2)=4x. Find the length that these tangents will intercept on the line x=2

The number of normals drawn from the point (6,-8) to the parabola y^(2)-12y-4x+4=0 is