Practice Flashcards: Higher Maths: the straight line and the circle | Zestly

Question 1

Gradient of perpendicular lines

Accepted Answer

If two lines are perpendicular, the product of their gradients is $-1$. Example: If $m_1 = 2$, then $m_2 = -\frac{1}{2}$.

Question 2

Gradient from angle $	heta$

Accepted Answer

The gradient $m$ of a line is $m = 	an(	heta)$. Example: For $	heta = 45^{\circ}$, $m = 	an(45^{\circ}) = 1$.

Question 3

Equation of a circle

Accepted Answer

The equation is $(x - a)^2 + (y - b)^2 = r^2$ for centre $(a, b)$ and radius $r$. Example: Centre $(1, 2)$, $r = 3$ gives $(x - 1)^2 + (y - 2)^2 = 9$.

Question 4

Midpoint formula

Question 5

Point-gradient formula

Question 6

General circle equation

Question 7

Condition for tangency

Question 8

Gradient of a tangent

Question 9

Median of a triangle

Question 10

Distance between two points

Question 11

Parallel lines condition

Question 12

Equation of a line through two points