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AP EAMCET202315 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

If S is the set of all real values of ' a ' such that a plane passing through the points (- a ^2, 1,1 ), (1,- a ^2, 1 ) , (1,1,- a ^2 ) also passes through the point (-1,-1,1) , then S =

Options

  1. A3
  2. B3 ,- 3
  3. C1,-1
  4. D3,-3

Correct answer

B. 3 ,- 3

Step-by-step solution

Since all four points are coplaner aligned & | array ccc 1-a^2 & 2 & 0 2 & -a^2+1 & 0 2 & 2 & -a^2-1 array |=0 (a^2+1 )^2 (3-a^2 )=0 & a= 3 aligned So, S= - 3 , 3

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