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Let S be the set of all real values of  such that a place passing through the points  (−2, 1, 1), (1, −2, 1) and

(1, 1, −2) also passes through the point (−1, −1, 1). Then S is equal to

(a)

{ }

(b)

{

(c)

{1, −1}

(d)

{3, −3}



Question ID - 57306 | SaraNextGen Top Answer

Let S be the set of all real values of  such that a place passing through the points  (−2, 1, 1), (1, −2, 1) and

(1, 1, −2) also passes through the point (−1, −1, 1). Then S is equal to

(a)

{ }

(b)

{

(c)

{1, −1}

(d)

{3, −3}

1 Answer
127 votes
Answer Key / Explanation : (b) -

 All four points are coplanar so

   =0

(2+1)2(3−2) = 0

 = ±

127 votes


127