JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • 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 :

               The given point lies on the line \[x+y=2\], 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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