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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 69

The circle $C\,$ has equation $x^2 + y^2 - 6x - 12y = 0$

a.

Show that $C\,$ has centre $(3, 6)$ and radius $353\sqrt{5}$ .

[2]

b.

Show that the point $P (6, 12)$ lies on $C$ .

[1]

c.

Find an equation for the tangent to $C\,$ at $P$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers.

[3]

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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