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Coordinate Geometry

Coordinate Geometry

Medium
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Question 5

The line l1 l_1\,l1​ passes through the points P(−1,2)P(-1, 2)P(−1,2) and Q(11,8)Q(11, 8)Q(11,8).

a.

Find an equation for l1 l_1\,l1​ in the form y=mx+cy = mx + cy=mx+c, where m m\,m and c c\,c are constants.

[4]
b.

The line l2 l_2\,l2​ passes through the point R(10,0)R(10, 0)R(10,0) and is perpendicular to l1l_1l1​. The lines l1 l_1\,l1​ and l2 l_2\,l2​ intersect at the point SSS. Calculate the coordinates of SSS.

[5]
c.

Show that the length of RS RS\,RS is 353\sqrt{5}35​.

[2]
d.

Hence, or otherwise, find the exact area of triangle PQRPQRPQR.

[4]
Markscheme

Coordinate Geometry Questions

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

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

Question bank