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Coordinate Geometry

Coordinate Geometry

Medium
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Question 6

The line l1 l_1\,l1​ passes through the point (9,−4)(9, -4)(9,−4) and has gradient 13\displaystyle \frac{1}{3}31​.

a.

Find an equation for l1 l_1\,l1​ in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.

[3]
b.

The line l2 l_2\,l2​ passes through the origin O O\,O and has gradient -2. The lines l1 l_1\,l1​ and l2 l_2\,l2​ intersect at the point PPP. Calculate the coordinates of PPP.

[4]
c.

Given that l1 l_1\,l1​ crosses the yyy-axis at the point CCC, calculate the exact area of △OCP\triangle OCP△OCP.

[3]
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.

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