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1.6 C: Coordinate geometry in the (x, y) plane

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Question 41
81%

The points A A\,A and B B\,B have coordinates (−1,k+2)(-1, k + 2)(−1,k+2) and (2k−3,8)(2k - 3, 8)(2k−3,8) where k k\,k is a constant.

Given the gradient of AB AB\,AB is 13\displaystyle \frac{1}{3}31​

a.

Show that k=4k = 4k=4

[2]
b.

Find the equation of the line that passes through A A\,A and BBB.

[3]
c.

Find the equation of the perpendicular bisector of AB AB\,AB and BBB. Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0

[4]

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank