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JEE Math Practice Question

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

  1. A.{1, $$-$$1}
  2. B.{3, $$-$$ 3}
  3. C.$$\left\{ {\sqrt 3 } \right\}$$
  4. D.$$\left\{ {\sqrt 3 , - \sqrt 3 } \right\}$$

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