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1.5 Coordinate Geometry

1.5 Coordinate Geometry

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Question 20

A curve C C\,C has the parametric equations

x=tan⁡2tx = \tan^2 tx=tan2t, y=cos⁡ty = \cos ty=cost, where 0<t<π2\displaystyle 0 < t < \frac{\pi}{2}0<t<2π​

a.

Show that a Cartesian equation for C C\,C is

y2(x+1)=1y^2(x + 1) = 1y2(x+1)=1

[4]
b.

State, using set notation, the domain and the range of CCC.

[2]
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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