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Coordinate Geometry - Cirlces

Coordinate Geometry - Cirlces

Medium
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Question 3

The circle C C\,C has equation

x2+y2−6x+4y=12 x^2 + y^2 - 6x + 4y = 12 x2+y2−6x+4y=12
a.

Find the centre and the radius of CCC.

[5]
b.

The point P(−1,1)P(-1, 1)P(−1,1) and the point Q(7,−5)Q(7, -5)Q(7,−5) both lie on CCC. Show that PQ PQ\,PQ is a diameter of CCC.

[2]
c.

The point R R\,R lies on the positive yyy-axis and the angle PRQ=90∘PRQ = 90^\circPRQ=90∘. Find the coordinates of RRR.

[4]
Markscheme

Coordinate Geometry - Cirlces Questions

  1. A Level
  2. /Old Maths
  3. /Coordinate Geometry - Cirlces

6 exam-style questions on Edexcel A Level Old Maths Coordinate Geometry - Cirlces. Each one has a worked solution and a mark scheme showing where the marks go.

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