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Engineering
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The two lines x=ay+b,z=cy+d\; and x=a'y+b',z=c'y+d'\; are perpendicular to each other if

  • Option 1)

    aa'+cc'=-1\;

  • Option 2)

    \; aa'+cc'=1\;

  • Option 3)

    \; \frac{a}{a'}+\frac{c}{c'}=-1\;

  • Option 4)

    \; \frac{a}{a'}+\frac{c}{c'}=1

 
As we learnt in  Condition for perpendicularity - or -     Option 1) Incorrect Option   Option 2) Correct Option   Option 3) Incorrect Option   Option 4) Incorrect Option  
Engineering
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The image of the point (–1, 3, 4) in the 3 plane x-2y=0  is

  • Option 1)

    \left ( -\frac{17}{3},-\frac{19}{3},4 \right )\;

  • Option 2)

    (15,11,4)

  • Option 3)

    \left ( -\frac{17}{3},-\frac{19}{3},1 \right )\; \;

  • Option 4)

    \left ( \frac{9}{5},-\frac{13}{5},4 \right )\; \;

 
As we learnt in  Image of a point - Let be the image of point in the plane will be given by the formula  -    To find image we take Option 1) Incorrect Option   Option 2) Incorrect Option   Option 3) Incorrect Option   Option 4) Correct Option  
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