Question

Eliminate the parameter. x = square root of t , y = 2t + 5

Answer 1

`\bf \begin{cases} x=√(t)\implies x^2=\boxed{t}\\ y=2t+5\\ ----------\\ y=2\boxed{x^2}+5 \end{cases}`

Answer 2

`y=2x^2+5`

Explanation:

We have been given that

`x=\sqrt t...(i)\\\\y=2t+5...(ii)`

We have to eliminate the parameter t.

Squaring equation (i), we get

`x^2=t`

Substituting this value of t in equation (ii)

`y=2x^2+5`

On eliminating the parameter, we get the equation
`y=2x^2+5`