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1.5 Coordinate Geometry

1.5 Coordinate Geometry

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Question 79

The line l l\,l has equation 2x+5y−20=02x + 5y - 20 = 02x+5y−20=0

l l\,l crosses the xxx-axis at the point A A\,A and the yyy-axis at the point BBB.

a.

Write down the coordinates of A A\,A and of BBB.

[2]
b.

Find the area of triangle OABOABOAB, where O O\,O is the origin.

[2]
c.

The point C C\,C has coordinates (5,2)(5, 2)(5,2). Show that C C\,C lies on lll.

[1]
Markscheme

1.5 Coordinate Geometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Coordinate Geometry

178 exam-style questions on OCR (MEI) A Level Maths 1.5 Coordinate Geometry, covering 1.5.1 Equation of a straight line y = mx + c, 1.5.2 Gradients of parallel and perpendicular lines, 1.5.3 Distance between two points, 1.5.4 Midpoint of a line segment, 1.5.5 Form the equation of a straight line, 1.5.6 Draw a line given its equation, 1.5.7 Point of intersection of two lines, 1.5.8 Straight line models, 1.5.9 Intersection of a line and a curve, 1.5.10 Intersection of a line and a circle, 1.5.11 Equation of a circle, 1.5.12 Circle properties, 1.5.13 Parameter and parametric equations (A-level only), 1.5.14 Convert between cartesian and parametric forms (A-level only), 1.5.15 Equation of a circle in parametric form (A-level only), 1.5.16 Gradient of a parametric curve (A-level only), 1.5.17 Parametric equations in modelling (A-level only), and 1.5 Coordinate Geometry. Each one has a worked solution and a mark scheme showing where the marks go.

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