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

  • question_answer
    If the straight line \[ax+by+c=0\] always passes through      (1, -2), then a, b, c are                                  [AMU 2000]

    A) In A.P.                                       

    B) In H.P.

    C) In G.P.                                      

    D) None of these

    Correct Answer: A

    Solution :

    \[ax+by+c=0\] is always through \[(1,\,-2)\].                    \ \[a-2b+c=0\] Þ \[2b=a+c\]                    Therefore, a, b and c are in A.P.


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