Coordinate Geometry

The gradient of the line joining the points (x1, y1) and (x2, y2) is:

If the lines y = m1x + c1 and y = m2x + c2 are coincident, then:

Angle between lines x = 5 and y = 10 is:

What is the equation of the locus of a point which is always 5 units away from (0, 0)?

Find the equation of the line passing through (1, 2) and perpendicular to the X-axis.

The center of a circle is (2, 3) and it passes through (5, 7). The radius is:

If (x, y) is equidistant from (1, 2) and (3, 4), then:

If the line y = mx + c is tangent to the circle x^2 + y^2 = r^2, then:

The slope of a line which is equally inclined to the axes is:

Find the area of a triangle with vertices (0,0), (a,0), and (0,a).

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

Calculate the slope of the line segment joining (a, b) and (b, a).

If the slope of the line passing through (2, 5) and (5, y) is 2, then y is:

The intercept form of the line x + y = 5 is:

The perpendicular distance from (1, 1) to the line 3x + 4y - 12 = 0 is:

What is the equation of a line with slope 0 and passing through (4, 5)?

Condition for the lines y = m1x + c1 and y = m2x + c2 to be parallel is:

The point (0, -4) lies on which axis?

What is the slope of the line joining origin and (2, 4)?

If the vertices of a triangle are (0,0), (2,0), and (0,2), find its centroid.