`x=sqrt(t) , y=t-5` Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.

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`x=sqrt(t)`    ----------------(1)

`y=t-5`  -----------------(2)

Draw a table for different values of t and plot the points obtained from the table.(Refer the attached image). Connect the points to a smooth curve.

From equation (1),


Substitute t in equation (2),

`y=x^2-5`   ,`x>=0`

Rectangular equation of the curve is `y=x^2-5 , x>=0`

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