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1.5 Coordinate Geometry

1.5 Coordinate Geometry

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Question 95

A sensor tracking the movement of a robotic probe in a research lab models the horizontal displacement xxx and vertical displacement yyy at time ttt using the parametric equations

x=7×6−t+3 x = 7 \times 6^{-t} + 3 x=7×6−t+3 y=4×6t−5 y = 4 \times 6^{t} - 5 y=4×6t−5
a.

Show that dydx=−47×62t\dfrac{dy}{dx} = -\dfrac{4}{7} \times 6^{2t}dxdy​=−74​×62t.

[4]
b.

Find the Cartesian equation of the curve in the form xy+ax+by=cxy + ax + by = cxy+ax+by=c, where aaa, bbb and ccc are integers.

[4]
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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