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Coordinate Geometry

Coordinate Geometry

Medium
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Question 1

The line l1 l_1\,l1​ passes through the point A(2,5)A(2, 5)A(2,5) and has gradient −12\displaystyle -\frac{1}{2}−21​.

a.

Find an equation of l1l_1l1​, giving your answer in the form y=mx+cy = mx + cy=mx+c.

[3]
b.

The point B B\,B has coordinates (−2,7)(-2, 7)(−2,7). Show that B B\,B lies on l1l_1l1​.

[1]
c.

Find the length of ABABAB, giving your answer in the form k5k\sqrt{5}k5​, where k k\,k is an integer.

[3]
d.

The point C C\,C lies on l1 l_1\,l1​ and has xxx-coordinate equal to ppp. The length of AC AC\,AC is 5 units. Show that p p\,p satisfies

p2−4p−16=0. p^2 - 4p - 16 = 0. p2−4p−16=0.
[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