JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    If the three lines x - 3y = p, ax + 2y = q and ax + y = r form a right-angled triangle, then

    A) \[{{a}^{2}}-9a+18=0\]  

    B) \[{{a}^{2}}-6a-18=0\]

    C) \[{{a}^{2}}-9a+12=0\]

    D) \[{{a}^{2}}-6a-12=0\]

    Correct Answer: A

    Solution :

    \[\left( \frac{-a}{2} \right)\times \frac{1}{3}=1\,\,\Rightarrow \,a=6\] and \[\frac{1}{3}\times (-a)=-1\,\Rightarrow \,a=3\] \[\therefore \,\,{{a}^{2}}-9a+18=0\]


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