Coordinate Geometry of the Circle | Cambridge O Level Additional Maths Topic Questions 2025

1a

5 marks

Solutions to this question by accurate drawing will not be accepted.
A circle has equation $x^{2} + y^{2} - 16 x - 10 y + 73 = 0$ .

(i)

Find the coordinates of the centre of the circle and the length of the radius.

(ii)

Hence show that the point (10, 6.5) lies inside the circle.

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1b

1 mark

A different circle has equation ${(x - 10)}^{2} + {(y - 6.5)}^{2} = 2.25$ .
Show that the two circles touch. You are not required to find the coordinates of the common point.

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1a

2 marks

Construct the graph of $x^{2} + y^{2} = 9$

q2a-medium-2-18-equation-of-circle-edexcel-gcse-maths

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1b

3 marks

By drawing the line $x + y = 1$ on the grid, solve the equations $x^{2} + y^{2} = 9 x + y = 1$

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1

8 marks

A circle has a centre $(2, - 4)$ and radius $3$ .
The line $y = 2 x - 3$ intersects the circle at points $A$ and $B$ .
The perpendicular bisector of line $A B$ intersects the circle at points $X$ and $Y$ .
Find the area of kite $A X B Y$ .

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Coordinate Geometry of the Circle (Cambridge O Level Additional Maths)

Topic Questions