A parabola has it vertex at the origin, axis along the X-axis and it passes through the point (4, -8). Find its equation.

Find the equation of the parabola whose vertex is at the origin, axis is along the X-axis and the length of the latus rectum is 4 units.

Find the equation of line in space parallel to X-axis and passing through the origin

Find the points on the X- axis whose distance from the point (2, -3, 4) are 13 units.

Find the equation of a circle whose centre is the origin and passes through the point (2,-4).

Find the equation of the line passing through the points (1,3) and (-2,-1).

Find the equation of a circle with centre(2,2)and passes through the point (4,5).

Find the focus and the directrix of the parabola y ^2 = 4kx if it passes through the point (4a, 4a).

Find the point on the X -axis equidistant from the points (4, 3, 1) and (-2, -6, -2).

Find the equation of the straight line passing through the points (-2, 3) and (6, -4).

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).