Course home

Perpendicular Lines and the equation of a tangent

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

Question 82

A circle has the equation $x^2 + y^2 = 5$

Write down the coordinates of the centre of the circle.

[1]

Write down the exact length of the radius of the circle.

[1]

$P\,$ is the point (1,2) on the circle $x^2 + y^2 = 5$

Verify that the equation of the tangent to the circle at $P\,$ is $y=−12x+52\displaystyle y = -\frac{1}{2}x + \frac{5}{2}$ .

[4]

Markscheme

Perpendicular Lines and the equation of a tangent Questions

GCSE
Maths
Perpendicular Lines and the equation of a tangent

130 exam-style questions on Eduqas GCSE Maths Perpendicular Lines and the equation of a tangent. Each one has a worked solution and a mark scheme showing where the marks go.

Perpendicular Lines and the equation of a tangent

Question bank

Perpendicular Lines and the equation of a tangent

Easy Medium Hard

Question 82

A circle has the equation $x^2 + y^2 = 5$

Write down the coordinates of the centre of the circle.

[1]

Write down the exact length of the radius of the circle.

[1]

$P\,$ is the point (1,2) on the circle $x^2 + y^2 = 5$

Verify that the equation of the tangent to the circle at $P\,$ is $y=−12x+52\displaystyle y = -\frac{1}{2}x + \frac{5}{2}$ .

[4]

Markscheme

Perpendicular Lines and the equation of a tangent Questions

GCSE
Maths
Perpendicular Lines and the equation of a tangent

130 exam-style questions on Eduqas GCSE Maths Perpendicular Lines and the equation of a tangent. Each one has a worked solution and a mark scheme showing where the marks go.