Coordinate Geometry

If the intercepts of a line are equal in magnitude and sign, its slope is:

The slope of the line $\sqrt{3}x - y + 5 = 0$ is:

Equation of a line through $(-2, 3)$ and parallel to $y$-axis is:

The distance of the origin $(0, 0)$ from the line $7x + 24y - 50 = 0$ is:

Calculate the perpendicular distance from $(2, 4)$ to the line $8x - 15y + 2 = 0$.

What is the distance between the point $(-1, -1)$ and the line $x - y + 10 = 0$?

If the equation $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ has $a = b$, the curve is a:

The equation $x^2 + y^2 = 0$ represents which of the following?

For a hyperbola, the eccentricity ($e$) always satisfies which condition?