Straight Line Question 272

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:

  • [d] The given point lies on the linens $ 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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