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1.5 Coordinate Geometry

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Question 88

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

1.5 Coordinate Geometry Questions

A Level
Maths
1.5 Coordinate Geometry

178 exam-style questions on OCR (MEI) A Level Maths 1.5 Coordinate Geometry, covering 1.5.1 Equation of a straight line y = mx + c, 1.5.2 Gradients of parallel and perpendicular lines, 1.5.3 Distance between two points, 1.5.4 Midpoint of a line segment, 1.5.5 Form the equation of a straight line, 1.5.6 Draw a line given its equation, 1.5.7 Point of intersection of two lines, 1.5.8 Straight line models, 1.5.9 Intersection of a line and a curve, 1.5.10 Intersection of a line and a circle, 1.5.11 Equation of a circle, 1.5.12 Circle properties, 1.5.13 Parameter and parametric equations (A-level only), 1.5.14 Convert between cartesian and parametric forms (A-level only), 1.5.15 Equation of a circle in parametric form (A-level only), 1.5.16 Gradient of a parametric curve (A-level only), 1.5.17 Parametric equations in modelling (A-level only), and 1.5 Coordinate Geometry. Each one has a worked solution and a mark scheme showing where the marks go.

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