12th Class Mathematics Sample Paper Maths Olympiad Model Paper-3

  • question_answer
    Two lines \[\frac{x-{{x}_{1}}}{{{I}_{i}}}=\frac{y-{{y}_{1}}}{{{m}_{i}}}=\frac{z-{{z}_{1}}}{{{n}_{i}}}(i=1,\,\,2)\] are perpendicular to each other if their direction ratios satisfy

    A)  \[{{I}_{i}}={{m}_{i}}={{n}_{i}}\]

    B)  \[{{I}_{1}}{{I}_{2}}+{{m}_{1}}{{m}_{2}}+{{n}_{1}}{{n}_{2}}=0\]

    C)  \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{n}_{1}}}{{{n}_{2}}}=0\]

    D)  All of these

    E)  None of these

    Correct Answer: B


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