Mathematics Questions

Find the equation of a line passing through (2, 3) and parallel to the line 3x - 4y + 5 = 0.

Find the equation of a line passing through (1, -1) and perpendicular to the line x + 2y = 3.

What is the angle between the lines y = x and y = -x?

Find the area of a quadrilateral whose vertices taken in order are (-4, -2), (-3, -5), (3, -2), and (2, 3).

The point on the x-axis which is equidistant from (2, -5) and (-2, 9) is:

Find the equation of the line passing through the origin and the point (2, 4).

What is the length of the intercept made by the line 3x + 4y = 12 between the axes?

The center of the circle x^2 + y^2 - 4x + 6y - 12 = 0 is:

The radius of the circle x^2 + y^2 = 49 is:

Find the value of p if the points (1, 1), (2, 3), and (3, p) are collinear.

What is the distance between the points (a cos theta, a sin theta) and (0, 0)?

If the point (x, y) is equidistant from (5, 1) and (-1, 5), then:

The ratio in which the y-axis divides the line segment joining (2, -3) and (5, 6) is:

The equation of a line which makes equal intercepts on the axes and passes through (2, 3) is:

Find the slope of a line which is perpendicular to the line joining (0, 0) and (2, 2).

What is the length of the perpendicular from origin to the line 3x + 4y - 10 = 0?

Find the angle between the lines x + y = 5 and x - y = 3.

If (a, 0), (0, b), and (1, 1) are collinear, then 1/a + 1/b = ?

Find the coordinates of the circumcenter of a triangle with vertices (0,0), (8,0), and (0,6).

The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is: