Coordinate Geometry

What is the distance between the parallel lines y = 2x + 5 and y = 2x - 5?

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

The coordinates of the point that divides the segment joining (1, 2) and (4, 5) internally in the ratio 2:1 are:

If the lines 2x + ky + 3 = 0 and 4x + 6y + 9 = 0 are parallel, then k is:

What is the equation of the line passing through (2, 3) and (4, 7)?

The acute angle between the lines with slopes m1 and m2 is given by tan(θ) = :

A line makes an angle of 135 degrees with the positive direction of the X-axis. Its slope is:

The points (1, 1), (2, 2), and (3, 3) are:

What is the equation of a circle with center (0, 0) and radius 5?

Find the length of the perpendicular from the origin to the line 3x + 4y = 10.

If the area of a triangle with vertices (k, 0), (4, 0), and (0, 2) is 4 square units, then k is:

The homogeneous equation of second degree ax^2 + 2hxy + by^2 = 0 represents a pair of straight lines passing through:

The angle between the pair of lines represented by x^2 - y^2 = 0 is:

Find the center of the circle x^2 + y^2 - 4x + 6y - 12 = 0.

What is the radius of the circle x^2 + y^2 = 9?

The distance between (x, y) and the Y-axis is:

Find the equation of a line with slope 1 and passing through (0, 5).

The coordinates of the midpoint of the line segment joining (a, b) and (-a, -b) are:

For the lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 to be parallel, the condition is:

Which quadrant does the point (-2, -3) lie in?