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AP EAMCET2010MathematicsStraight Lines

The point dividing the join of (3,-2,1) and (-2,3,11) in the ratio 2: 3 is

Options

  1. A(1,1,4)
  2. B(1,0,5)
  3. C(2,3,5)
  4. D(0,6,-1)

Correct answer

B. (1,0,5)

Step-by-step solution

Let require point is P , then by section formula the coordinate of point P are P ( m x₂+n x₁ m+n , m y₂+n y₁ m+n , m z₂+n z₁ m+n ) P ( -4+9 2+3 , 6-6 2+3 , 22+3 2+3 ) P ( 5 5 , 0 5 , 25 5 ) P(1,0,5)

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