Standard form of parabola is `x ^(2) = - 4 by,` when curve lies in the positive Y axis.

y ^(2) = 4 ax is the standard form of parabola when curve lies on X axis.

Find area of the region bounded by the parabola x ^(2) = 36y,y = 1 and y = 4, and the positive Y-axis.

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is:

If the point (2a,a) lies inside the parabola x^(2) -2x - 4y +3 = 0 , then a lies in the interval

Vertex of the parabola y ^(2) + 2y + x=0 lies in the

Axis of the parabola x ^(2) -4x-3y+10=0 is

Focus of a parabola y^(2) = 4ax coincides with the focus of the hyperbola 9x^(2) - 16y^(2) = 144 which is on the positive direction of X-axis . Find the equation of the tangent line to the parabola at the end of the latus rectum I which lies in the first quadrant .

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.