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

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Question 60

The line l1 l_1\,l1​ has the equation 5y−10=2x5y - 10 = 2x5y−10=2x The point P P\,P with x x\,x coordinate 4 lies on l1l_1l1​. The line l2 l_2\,l2​ is perpendicular to l1 l_1\,l1​ and passes through the point PPP.

a.

Find an equation for l2 l_2\,l2​ in the form ax+by+c=0ax + by + c = 0ax+by+c=0

[4]
b.

The lines l1 l_1\,l1​ and l2 l_2\,l2​ cross the x x\,x axis at the points Q Q\,Q and R R\,R respectively.

Calculate the area of the triangle QPRQPRQPR.

[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