Question

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

Answer 1

`\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}`

Answer 2

x - y = 2

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