Mathematics Questions

Find the equation of a circle with center (2, -3) and radius 5.

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

What is the area of a circle whose equation is x^2 + y^2 - 4x - 6y - 3 = 0?

Find the equation of the locus of a point which moves such that its distance from the y-axis is twice its distance from the x-axis.

The reflection of the point (3, 4) in the line y = x is:

Find the image of point (1, 2) when reflected across the x-axis.

What is the gradient of a line making an angle of 135 degrees with the x-axis?

The equation of the line passing through (2, 3) and (2, -5) is:

Find the length of the tangent from (5, 4) to the circle x^2 + y^2 = 9.

The coordinates of the point dividing the segment (1, 3) and (2, 7) in the ratio 3:4 externally are:

If the lines 2x + y - 3 = 0 and kx + 2y - 1 = 0 are parallel, find k.

The equation of the normal to the circle x^2 + y^2 = 25 at (3, 4) is:

Find the slope of a line parallel to 2x - 3y + 5 = 0.

The parametric equations of the circle x^2 + y^2 = r^2 are:

The y-axis divides the line segment joining (3, 5) and (-2, 1) in the ratio:

If the slope of a line is 1, what is its inclination?

Find the equation of the line with slope 2 and y-intercept 3.

The distance between (2, 3) and (2, -4) is:

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

The area of a triangle with vertices (1, 2), (1, 2), and (3, 4) is: