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Naddika [18.5K]
3 years ago
12

Eliminate the parameter. x = t2 + 1, y = t2 - 1

Mathematics
2 answers:
Alexus [3.1K]3 years ago
4 0
\bf \begin{cases}
x=t^2+1\implies x-1=\boxed{t^2}\\
y=t^2-1\\
----------\\
y=\boxed{x-1}-1\\
y=x-2
\end{cases}
GarryVolchara [31]3 years ago
4 0

Answer:

x - y = 2

Step-by-step explanation:

The given equations are x = t² + 1 and y = t² - 1

We have to eliminate the parameter t from these equations.

Since x = t² + 1

t² = x - 1

and y = t² + 1

t² = y - 1

Now we equate both the equations

x - 1 = y - 1

x - y = 1 + 1

x - y = 2

Therefore, answer is x - y = 2

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