SECTION 3- COORDINATE GEOMETRY

Question 1

how to prove that a point lies inside the circle

Answer 1

• substitute the x and y into the equation of the circle

- if sides are equal to each other, then the point lies inside the circle

Question 2

equation of circle w/ centre (0,0)

Answer 2

x² + y² = r²

Question 3

equation of a circle w/ centre (a,b)

Answer 3

(x - a)² + (y - b)² = r²

Question 4

equation for calculating the midpoint

Answer 4

(x1 + x2 / 2, y1 + y2 /2)

Question 5

what is a perpendicular bisector

Answer 5

• a line that’s perpendicular to the line segment and passes through the midpoint of the line segment

Question 6

what is the circumcentre

Answer 6

• the perpendicular bisectors of each side of the triangle that intersect at the centre of the circle