The circle C C\,C has the equation x2+y2−8x+6y+5=0x^2 + y^2 - 8x + 6y + 5 = 0x2+y2−8x+6y+5=0
Find (i) the coordinates of the centre of C C\,C and (ii) the exact radius of CCC.
The line with equation y=ky = ky=k where k k\,k is a constant, is a tangent to CCC. Find the possible values of kkk.
67 exam-style questions on CCEA A Level Maths 1.2 Co-ordinate geometry in the x, y plane, covering 1.2.1 Co-ordinate geometry in the x, y plane, 1.2.2 Co-ordinate geometry in the x, y plane, 1.2.3 Co-ordinate geometry in the x, y plane, 1.2.4 Co-ordinate geometry in the x, y plane, 1.2.5 Co-ordinate geometry in the x, y plane, 1.2.6 Co-ordinate geometry in the x, y plane, 1.2.7 Co-ordinate geometry in the x, y plane, and 1.2 Co-ordinate geometry in the x, y plane. Each one has a worked solution and a mark scheme showing where the marks go.