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JEE Main2003MathematicsThree Dimensional GeometryActual

The two lines x=a y+b, z=c y+d and x=a^ y+b^ z=c^ y+d^ will be perpendicular, if and only if

Options

  1. Aa a^ +c c^ +1=0
  2. Ba a ^ + b b ^ + c c ^ +1=0
  3. Ca ^ + b b ^ + c c ^ =0
  4. D(a+a^ ) (b+b^ )+ (c+c^ )=0

Correct answer

A. a a^ +c c^ +1=0

Step-by-step solution

x - b a = y 1 = 3- d c ; x - b ^ a ^ = y 1 = 3- d ^ c ^ For perpendicular aa ^ +1+ cc ^ =0

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