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  4. The point (t2+2 t+5,2 t2+t-2) lies on the line x+y=2 for

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Q. The point $\left(t^{2}+2 t+5,2 t^{2}+t-2\right)$ lies on the line $x+y=2$ for

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Solution:

The given point lies on the lines $x+y=2$,
if $3 t^{2}+3 t+3=0$.
Here discriminant $9-12 < 0$.
Therefore the value of $t$ is imaginary.
Thus the given point cannot lie on the line.