JEE Main & Advanced Mathematics Straight Line Question Bank Self Evaluation Test - Straight Lines & Pair Striaght Lines

  • question_answer
    The point \[({{t}^{2}}+2t+5,2{{t}^{2}}+t-2)\] 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

    Correct Answer: D

    Solution :

    [d] The given point lies on the linens \[x+y=2,\]if \[3{{t}^{2}}+3t+3=0,\] 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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