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

  • question_answer
    The equation of straight line passing through (-a, 0) and making a triangle with the axes of area T is

    A) \[2Tx+{{a}^{2}}y+2aT=0\]

    B) \[2Tx-{{a}^{2}}y+2aT=0\]

    C) \[2Tx-{{a}^{2}}y-2aT=0\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] If the line cuts off the axes at A and B, then the area of triangle is \[\frac{1}{2}\times OA\times OB=T\] Or \[\frac{1}{2}\times a\times OB=T\] or \[OB=\frac{2T}{a}\] Hence, the equation of line is \[\frac{x}{-a}+\frac{y}{2T/a}=1\] or \[2Tx-{{a}^{2}}y+2aT=0.\]


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