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1.6.2 Coordinate geometry of the circle

Question 2

A circle $C\,$ has centre $(10, 6)$ and radius $2172\sqrt{17}$ . A line $L\,$ has equation $y = m x$ .

Show that the $x$ -coordinate of any points of intersection of $C\,$ and $L\,$ satisfies the equation $m^2 + 1)x^2 - (12m + 20)x + 68 = 0$ .

[4]

Find values of $m\,$ for which the equation in (a) has equal roots.

[4]

Two lines drawn from the origin which are tangents to $C$ . Find the coordinates of the points of contact between the tangents and $C$ .

[4]

Markscheme

1.6.2 Coordinate geometry of the circle Questions

A Level
Maths
1.6.2 Coordinate geometry of the circle

60 exam-style questions on AQA A Level Maths 1.6.2 Coordinate geometry of the circle. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.2 Coordinate geometry of the circle

Question bank

1.6.2 Coordinate geometry of the circle

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Question 2

A circle $C\,$ has centre $(10, 6)$ and radius $2172\sqrt{17}$ . A line $L\,$ has equation $y = m x$ .

Show that the $x$ -coordinate of any points of intersection of $C\,$ and $L\,$ satisfies the equation $m^2 + 1)x^2 - (12m + 20)x + 68 = 0$ .

[4]

Find values of $m\,$ for which the equation in (a) has equal roots.

[4]

Two lines drawn from the origin which are tangents to $C$ . Find the coordinates of the points of contact between the tangents and $C$ .

[4]

Markscheme

1.6.2 Coordinate geometry of the circle Questions

A Level
Maths
1.6.2 Coordinate geometry of the circle

60 exam-style questions on AQA A Level Maths 1.6.2 Coordinate geometry of the circle. Each one has a worked solution and a mark scheme showing where the marks go.