Skip to content

Course home

Sign up

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

EasyMediumHard
12345678910111213141516171819202122
Question 5

The circle C C\,C has equation x2+y2+8x−4y+k=0x^2 + y^2 + 8x - 4y + k = 0x2+y2+8x−4y+k=0 where k k\,k is a constant.

C C\,C passes through the point (1,5)(1, 5)(1,5).

a.

Find the value of kkk.

[2]
b.

Find the coordinates of the centre of C C\,C and the exact radius of CCC.

[3]
c.

A straight line that passes through the point A(3,7)A(3, 7)A(3,7) is a tangent to C C\,C at the point BBB. Find the exact length ABABAB.

[4]
Markscheme

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

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, 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). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank