Skip to content

Course home

Sign up

Circles

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159
Question 44

The circle C C\,C has the equation x2+y2+4x−6y+k=0x^2 + y^2 + 4x - 6y + k = 0x2+y2+4x−6y+k=0 where k k\,k is a constant. Given that the point (4,5)(4, 5)(4,5) lies on CCC.

a.

Find the value of kkk.

[2]
b.

Find the coordinates of the centre and the radius of CCC.

[3]
c.

A straight line that passes through the point A(5,9)A(5, 9)A(5,9) is a tangent to the circle C C\,C at the point BBB. Find the exact length of the line ABABAB.

[5]
Markscheme

Circles Questions

  1. A Level
  2. /Maths
  3. /Circles

292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank