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A plane passing through three points (-l...

A plane passing through three points `(-lamda^2, 1, 1) (1, -lamda^2, 1),(1, 1, lamda^2)` also passes through `(1,1,-1)` then set consisting all the real value of `lamda` is (A) `{-sqrt3,sqrt3}` (B) `{3,-3}` (C) `{1}` (D) `{1, sqrt3, -sqrt3}`

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A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1),(1, 1, -lamda^2) also passes through (-1,-1,1) then set consisting all the real value of lamda is (A) {-sqrt3,sqrt3} (B) {3,-3} (C) {-1,1} (D) {sqrt3, -sqrt3}

A plane passing through three points (-lambda^(2),1,1)(1,-lambda^(2),1),(1,1,lambda^(2)) also passes through (1,1,-1) then set consisting all the real value of lambda is {-sqrt(3),sqrt(3)}(B){3,-3}(C){1}(D){1,sqrt(3),-sqrt(3)}

Let S be the set of all real values of lamda such that a plane passing through the points (-lamda^(2), 1,1), (1, -lamda ^(2),1) and (1, 1, - lamda^(2)) also passes through the point (-1,-1,1). Then, S is equal to:

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