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MHT CET20227 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

If the line passing through the points (a, 1,6) and (3,4, b) crosses the yz-plane at the point (0, 17 2 , -13 2 ) , then

Options

  1. Aa=-5, n=1
  2. Ba=5, b=1
  3. Ca=-5, b=-1
  4. Da=5, b=-1

Correct answer

B. a=5, b=1

Step-by-step solution

Let y - z plane divides the join in the ratio : 1 aligned & ( 3 +a +1 , 4 +1 +1 , b +6 +1 ) (0 ; 17 2 , -13 2 ) & 3 +a=0, 4 +1 +1 = 17 2 , b +6 +1 = -13 2 & = -5 3 , a=5, b=1 aligned

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