Straight Line Question 396

Question: The point $ (t^{2}+2t+5,2t^{2}+t-2) $ lies on the line $ x+y=2 $ for

Options:

A)All real values of t

B)Some real values of t

C) $ t=\frac{-3\pm \sqrt{3}}{6} $

D)None of these

Show Answer

Answer:

Correct Answer: D

Solution:

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

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