Which rectangular equation is formed by eliminating the parameter?
y = t^3
x = t + 5

Given :

Two equations :

y = t³

x = t + 5

To Find :

Rectangular equation formed by eliminating the parameter.

Solution :

Putting value of t from second equation to first equation.

We get :

Also, t from equation first :

Putting the value of t and equation two, we get :

Therefore, rectangular equation is formed by eliminating the parameter is :

y = ( x - 5)³ and x = ∛y + 5 .

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