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1.2 Co-ordinate geometry in the x, y plane

1.2 Co-ordinate geometry in the x, y plane

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Question 2

A circle C C\,C has centre (10,6)(10, 6)(10,6) and radius 2172\sqrt{17}217​. A line L L\,L has equation y=mxy = mxy=mx.

a.

Show that the xxx-coordinate of any points of intersection of C C\,C and L L\,L satisfies the equation (m2+1)x2−(12m+20)x+68=0(m^2 + 1)x^2 - (12m + 20)x + 68 = 0(m2+1)x2−(12m+20)x+68=0.

[4]
b.

Find values of m m\,m for which the equation in (a) has equal roots.

[4]
c.

Two lines drawn from the origin which are tangents to CCC. Find the coordinates of the points of contact between the tangents and CCC.

[4]
Markscheme

1.2 Co-ordinate geometry in the x, y plane Questions

  1. A Level
  2. /Maths
  3. /1.2 Co-ordinate geometry in the x, y plane

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.

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