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If the parameter is eliminated from the ...

If the parameter is eliminated from the equations `x=t^(2)+1 and y=2t`, then the relation between x and y is

A

`y=x-1`

B

`y=1-x`

C

`y^(2)=x-1`

D

`y^(2)=4x-4`

Text Solution

Verified by Experts

The correct Answer is:
D

`t=(y)/(2)`. Eliminate the parameter and get `x=(y^(2))/(4)+1=x` or `y^(2)=4x-4`
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