Coordinate Geometry Mock Tests

The point P divides the line segment joining the points A(1, 0) and B(4, 6) in the ratio 2 : 1. The coordinates of P are:

The lines passing through (1,0,0) with direction ratios (1,-1,0) and (0,1,0) with direction ratios (0,1,-1) lie in the same plane. The equation of this plane is:

The length of the latus rectum of the parabola y^2 = 8x is:

The equation of the circle passing through the points (1, 2) and (3, 4) and having its center on the line x - y = 1 is:

The distance between the points (3, 4) and (6, 8) is:

The equation of the circle circumscribing the triangle formed by the lines x = 0, y = 0, and x + y = 2 is:

The distance between the points (1, 2) and (4, 6) is:

The equation of the normal to the parabola y^2 = 8x at the point (2, 4) is: