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1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

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Question 66

The curve C C\,C has parametric equations

x=3−2tt+1\displaystyle x = \frac{3 - 2t}{t + 1}x=t+13−2t​, y=3t+1t+1\displaystyle y = \frac{3t + 1}{t + 1}y=t+13t+1​, where 0≤t≤50 \leq t \leq 50≤t≤5

a.

Show that C C\,C is part of a straight line.

[3]
b.

Find the exact length of this line segment.

[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.

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