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Show that the normals at the points (4a...

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.

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Find the length of the Latus rectum of the parabola y^(2)=4ax .

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The normal to y^(2)=4a(x-a) at the upper end of the latus rectum is

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^(2)=4x is

Find the measure of the angle subtended by the latus rectum of the parabola y^(2) = 4ax at the vertex of the 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.

The normals at the ends of the latusrectum of the parabola y^(2)=4ax" are (a, 2a) and (a, -2a)" .