Question

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

• A. All real values of t
• B. Some real values of t
• C. $t = \frac { - 3 \pm \sqrt { 3 } } { 6 }$
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

The given point lies on the line $x + y = 2$, 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.