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1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

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Question 82

The circle $C\,$ has equation $x^2 + y^2 - 8x + 6y + 5 = 0$

a.

Find the coordinates of the centre of $C$ .

[2]

b.

Find the exact radius of $C$ .

[1]

c.

The line with equation $y = k$ , where $k\,$ is a constant, is a tangent to $C$ . Find the possible values of $k$ .

[2]

Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

A Level
Maths
1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

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