Skip to content

Course home

1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

EasyMediumHard
1234567891011121314151617181920212223
Question 12

The line l1 l_1\,l1​ has equation y=2x−1y = 2x - 1y=2x−1

The line l2 l_2\,l2​ passes through the point P(1,6)P(1, 6)P(1,6) and is perpendicular to l1l_1l1​.

a.

Find an equation for l2l_2l2​, giving your answer 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 lines l1 l_1\,l1​ and l2 l_2\,l2​ meet at the point QQQ. Find the coordinates of QQQ.

[2]
c.

Find the exact length PQPQPQ.

[2]
Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank