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1.3 Coordinate geometry in the (x, y) plane

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Question 11

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

1.3 Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate geometry in the (x, y) plane

76 exam-style questions on WJEC A Level Maths 1.3 Coordinate geometry in the (x, y) plane, covering 1.3.1 Coordinate geometry in the (x, y) plane, 1.3.2 Coordinate geometry in the (x, y) plane, 1.3.3 Coordinate geometry in the (x, y) plane, and 1.3.4 Coordinate 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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