Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    The locus of the equation\[xy+yz=0\]is

    A)  a pair of straight lines

    B)  a pair of parallel lines

    C)  a pair of perpendicular planes

    D)  None of the above

    Correct Answer: C

    Solution :

    \[xy+yz=0\Leftrightarrow \,(x+z)\,y=0\Leftrightarrow y=0\] The equations\[y=0\]and\[x+z=0\]represents planes which are at right angles as their altitudes numbers are < 0, 1, 0 > and < 1, 0, 1 > respectively.


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