Coordinate Geometry

Question 1

Equation of a circle formula

Answer 1

(x-a)^2 + (y-b)^2 = r^2

Question 2

what is the equation of the circle with centre (0,3) and radius 2

Answer 2

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

Question 3

does the circle with the equation

(x-8)^2 + (y-15)^2 = 17^2

pass through the origin

Answer 3

yes

(0-8)^2 + (0-15)^2 = 289
64 + 225 = 289
289 = 289

is the number is less than 289 then it is within the circle and if it is greater than 289 then it is outside the circle

Question 4

equation to find the length of a line between two coordinates

Answer 4

length^2 = (y1 -y2)^2 + (x1-x2)^2

Question 5

the perpendicular bisector of any chord will

Answer 5

pass through the centre of a circle

Question 6

find the radius of the circle

Answer 6