Coordinate Geometry (1) Flashcards
The equations of a line
y - y1 = m(x - x1)
y = mx + c
ax + by + c = 0
y - y1 = m(x - x1)
y = mx + c
ax + by + c = 0
The equations of a line
The easiest way to find the gradient in y - y1 = m(x - x1)
m = (y2 - y1)/(x2 - x1)
m = (y2 - y1)/(x2 - x1)
The easiest way to find the gradient in y - y1 = m(x - x1)
When are lines parallel?
When the gradients are the same
When the gradients are the same
When are lines parallel?
What is the gradient of a perpendicular line?
-1 / gradient of the other line
-1 / gradient of the other line
What is the gradient of a perpendicular line?
What is the equation of a circle?
(x-a)^2 + (y-b)^2 = r^2
(x-a)^2 + (y-b)^2 = r^2
What is the equation of a circle?
What is the angle in a semi-angle?
A right angle
A right angle
What is the angle in a semi-angle?
What happens to the perpendicular from the centre to a chord?
It bisects the chord
It bisects the chord
What happens to the perpendicular from the centre to a chord?
A radius and tangent to the same point
Will meet at a right angle
Will meet at a right angle
A radius and tangent to the same point
What is the same as (1/3)x + (1/2)x = 5?
2x + 3x = 30
2x + 3x = 30
What is the same as (1/3)x + (1/2)x = 5?
When does a graph cross the x-axis?
When y=0
When y=0
When does a graph cross the x-axis?
How to convert parametric equations to a cartesian equation?
Rearrange one of the equations to make t the subject
Then substitute into the other equation
Rearrange one of the equations to make t the subject
Then substitute into the other equation
How to convert parametric equations into cartesian equations?
