Prove that the normals at the points `(1,2) and (4, 4)` of the parabola` y^2 = 4x` intersect on the parabola

Prove that the normals at the points (1,2) and (4,4) of the parbola y^(2)=4x intersect on the parabola.

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then

If the normals at points ' t_(1) " and ' t_(2) ' to the parabola y^(2)=4 a x meet on the parabola, then

If the normals at two points P and Q of a parabola y^2 = 4x intersect at a third point R on the parabola y^2 = 4x , then the product of the ordinates of P and Q is equal to

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is

If normals at points (a,y_(1)) and (4-a, y_(2)) to the parabola y^(2)=4x meet again on the parabola , then |y_(1)+y_(2)| is equal to (sqrt2=1.41)

If the normals at two points on the parabola y^(2)=4ax intersect on the parabola then the product of the abscissac is

Find the equation of the tangent and normal at the point (1,2) on the parabola y^2=4x .

Show that the normals at the points (4a,4a)& at the upper end of the latus rectum of the parabola y^(2)=4ax intersect on the same parabola.

Statement-1: Point of intersection of the tangents drawn to the parabola x^(2)=4y at (4,4) and (-4,4) lies on the y-axis. Statement-2: Tangents drawn at the extremities of the latus rectum of the parabola x^(2)=4y intersect on the axis of the parabola.