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Manipal MET2010MathematicsThree Dimensional Geometry

If P( p ), Q( q ), R( r ) and S( ~s ) be four points such that 3 p +8 q =6 r +5 s , then the lines P Q and R S are

Options

  1. Askew
  2. Bintersecting
  3. Cparallel
  4. DNone of these

Correct answer

B. intersecting

Step-by-step solution

Given, 3 p +8 q =6 r +5 s 3 p +8 q 8+3 = 6 r +5 ~s 6+5 The point which divides P Q in ratio 8: 3 in the same as the point which divides R S in the ratio 5: 6 . Hence, the line P Q and R S intersect.

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