Coordinate Geometry

Find the coordinates of the midpoint of the line segment joining (a+b, a-b) and (a-b, a+b).

What is the distance between (0, 5) and (-5, 0)?

Find the slope of a line which is parallel to the y-axis.

The area of a triangle with vertices (a, 0), (0, b), and (0, 0) is:

What is the center and radius of x^2 + y^2 = 1?

Find 'k' if the point (2, 3) lies on the line 5x + ky - 4 = 0.

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

The equation of a line passing through (x1, y1) with slope m is:

Find the slope of the line joining (4, -2) and (4, 8).

What is the distance of point (x, y) from the y-axis?

A line segment joining (1, 1) and (5, 5) is a diameter of a circle. What is its center?

Find the equation of a line whose x-intercept is 3 and y-intercept is 4.

Which of the following is the general equation of a circle?

Find the distance between (3, 4) and (0, 0) on a Cartesian plane.

If the area of a triangle with vertices (0,0), (x,0), and (0,10) is 50, find x.

The equation of a line passing through (2, -3) and having slope 0 is:

Find the angle between the line y = sqrt(3)x + 5 and the x-axis.

Condition for three points to be collinear is that the area of the triangle formed by them is:

Find the length of the intercept made by x^2 + y^2 = 25 on the x-axis.

If a line makes an angle alpha with the x-axis, its slope is: