1.3 Coordinate Geometry

[ PURE 1 ] 1) Coordinate Geometry 2) Circles 3) Equation of a circle

What is the equation of a straight line?

(slope intercept form)

y = mx + c

What is the equation of a straight line?

(point slope form)

What is the formula to find the gradient

What is the formula to find the distance between two points

What is the formula for the Midpoint of a line

What do parallel lines have in common

What do perpendicular lines have in common

How do you find the Coordinate B

1. To find the coordinate of D, find the equations of the lines CD & AD
2. Solve both equations simultaneously by equating them
3. Substitute x value to find the y coordinate

How to find the Area of a shape if the following coordinates are given :-

A= (0,3) B= (-2,5) C= (5,7) D= (0,-1)

* If the shape has 4 vertices, take 5


* The answer will always be positive

In a circle, Diameter is equal to _____

Radius x 2

In a circle, Radius is equal to _____

Diameter/2

Centre is equal to _____

Midpoint

Diameter is equal to _____

Distance between two points (A & B)

Radius and the tangent are _____

Perpendicular (They form a 90 degree angle)

Equation of tangent to a circle is _____

When two chords from the diameter touch the circumference…

The angle is 90 degrees, thus they are perpendicular

What is the equation of a circle?

What is the center

Centre = (a,b)

P.S REMEMBER TO CHANGE THE SIGNS

\+ → --

\-- → +

What is “r”

Radius

Write the equation of the circle

(x-2)^2 + (y-3)^2 = 4^2

(x-2)^2 + (y-3)^2 = 16

Find the Centre and Radius

Hint : take 2 as common

Find the Centre and Radius

Hint : take 2 as common