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AP EAMCET202315 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

If the line passing through the points (5,1, a) and (3, b, 1) crosses the YZ plane at the point (0, 17 2 , -18 2 ) , then a+b=

Options

  1. A12
  2. B10
  3. C8
  4. D4

Correct answer

B. 10

Step-by-step solution

Equation of line through (5,1, a) and (3, b, 1) is x-5 (5-3) = y-1 1-b = z-a a-1 = (say) Since this line passess through (0, 17 2 , -13 2 ) Hence 0-5 5-3 = =- 5 2 aligned & and 17 2 -1 1-b = = -5 2 & b=4 & and - 13 2 -a a-1 = =- 5 2 & a=6 aligned Therefore a+b=6+4=10

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