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1.6 C: Coordinate geometry in the (x, y) plane

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Question 65

The circle $C\,$ has the equation $x^2 + y^2 - 8x - 10y + k = 0$ , where $k\,$ is a constant.

Given the $C\,$ lies entirely in the first quadrant, find the range of possible values of $k$ .

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1.6 C: Coordinate geometry in the (x, y) plane Questions

A Level
Maths
1.6 C: Coordinate geometry in the (x, y) plane

Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

1.5 B: Algebra and functions

1.6 C: Coordinate geometry in the (x, y) plane

1.7 D: Sequences and series

1.8 E: Trigonometry

1.9 F: Exponentials and logarithms

1.10 G: Differentiation

1.11 H: Integration

1.12 I: Numerical methods (A-level only)

1.13 J: Vectors