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

  • question_answer
    If \[u={{a}_{1}}x+{{b}_{1}}y={{c}_{1}}=0\], \[v={{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\]and \[{{a}_{1}}/{{a}_{2}}={{b}_{1}}/{{b}_{2}}={{c}_{1}}/{{c}_{2}}\], then the curve \[u+kv=0\]is

    A) the same straight line u

    B)  different straight line

    C)  not a straight line

    D)  none of these

    Correct Answer: A

    Solution :

    [a] Since \[{{a}_{1}}/{{a}_{2}}={{b}_{1}}/{{b}_{2}}={{c}_{1}}/{{c}_{2,}}\]u=0 and v=0 are the same straight lines. Hence u+kv=0 is also the same straight line.


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