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  • 11-08-2020
  • Mathematics
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Eliminate the parameter for the following set of parametric equations: x= t^2 + 2 y= 4t^2

Eliminate the parameter for the following set of parametric equations x t2 2 y 4t2 class=

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  • 12-08-2020

Answer:

Solution : y = 4x - 8

Step-by-step explanation:

The first thing we want to do is isolate t², rather than t. Why? As you can see when we substitute t² into the second equation, it will be easier than substituting t, as t is present in the form t². So, let's isolate t² in the first equation --- ( 1 )

x = t² + 2,

t² = x - 2

Now let's substitute this value of t² in the second equation --- ( 2 )

y = 4t²,

y = 4(x - 2),

y = 4x - 8 ~ And hence our solution is option c.

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