JEE Main & Advanced Mathematics Straight Line Question Bank Mock Test - Straight Lines

  • question_answer
    The straight line \[ax+by+c=0\], where \[abc\ne 0\], will pass through the first quadrant if

    A)  \[ac>0,bc>0\]

    B)  \[c>0\,and\,bc<0\]

    C)  \[bc>0\,and/or\,ac>0\]

    D)  \[ac<0\,and/or\,bc<0\]

    Correct Answer: D

    Solution :

    [d] If the line meets the x- and y-axes at A and B, then\[A\equiv (-c/a,0)\],\[B\equiv (0,-c/b).\]The line will pass through the first quadrant if \[-c/a>0and/or-c/b>0\] i.e., \[ac<0and/orbc<0\]


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