Coordinate geometry and circles quiz: N(A)-Level Additional Mathematics (SEAB 4051) quiz

The gradient of the line joining $(x_1, y_1)$ and $(x_2, y_2)$ is:

Find the gradient of the line through $(2, 1)$ and $(6, 9)$.

Find the midpoint of $(-2, 4)$ and $(6, 0)$.

Find the length of the segment joining $(0, 0)$ and $(3, 4)$.

Write the equation of the line through $(1, 2)$ with gradient $3$.

Two lines are parallel when their gradients are:

Two lines are perpendicular when the product of their gradients is:

State the gradient of a line perpendicular to one with gradient $\dfrac{2}{5}$.

The standard equation of a circle with centre $(a, b)$ and radius $r$ is:

Write the equation of the circle with centre $(2, -3)$ and radius $5$.

Find the centre of the circle $x^2 + y^2 - 4x + 6y - 3 = 0$.

From $(x - 2)^2 + (y + 3)^2 = 16$, the radius is:

A line has equation $y = -\dfrac{1}{2}x + 5$. The line parallel to it through the origin is:

What is the gradient of a horizontal line?