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1.5.14 Convert between cartesian and parametric forms (A-level only)

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Question 34

The curve C C\,C has parametric equations

x=3−2tt+1y=3t+1t+10≤t≤5 x = \frac{3 - 2t}{t + 1} \quad y = \frac{3t + 1}{t + 1} \quad 0 \leq t \leq 5 x=t+13−2t​y=t+13t+1​0≤t≤5
a.

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

[4]
b.

Find the length of the line segment.

[3]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

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