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AP EAMCET20228 Jul 2022Morning ShiftMathematicsThree Dimensional GeometryActual

Let A =(-3,-2,7) and B =(3,1,-2) . Let a plane perpendicular to the line segment A B divide A B in the ratio 2: 1 . Then the intercept made by the plane on y -axis is

Options

  1. A-1 2
  2. B1 3
  3. C2
  4. D-1

Correct answer

D. -1

Step-by-step solution

Let plane P divides Line AB at Q in ratio 2:1 Q=(1,0,1) Now, equation of plane passing through (1,0,1) with DRS (6,3,-9) is aligned & 6(x-1)+3(y-0)-9(z-1)=0 & 6 x+3 y-9 z+3=0 & -2 x-y+3 z=1 & x - 1 2 + y (-1) + z ( 1 3 ) =1 aligned hence y intercepts is -1

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