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

  • question_answer
    The straight lines \[x+2y-9=0,\,\,\,3x+5y-5=0\] and \[ax+by=1\] are concurrent if the straight line \[35x-22y+1=0\] passes through:

    A) (a, b) (b)

    B) (b, a)

    C) (a, -b) (d)

    D) (-a, b)

    Correct Answer: A

    Solution :

    [a] Given equation of stating lines are \[x+2y-9=0,\,\,\,3x+5y-5=0\] and \[ax+by-1=0\] They are concurrent, if \[-5+5b-2(-3+5a)-9(3b-5a)=0\] \[\Rightarrow 35a-22b+1=0\] Thus, given straight lines are concurrent if the straight line \[35x-22y+1=0\] passes through (a, b).


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