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Statement 1: If the points (1,2,2),(2,1,2) and (2,2, z) and (1,1,1) are coplanar, then z=2 . Statement 2: If the 4 points P, Q, R and S are coplanar, then the volume of the tetrahedron P Q R S is 0.

Options

  1. AStatement 1 is false,, Statement 2 is true.
  2. BStatement 1 is true, Statement 2 is false.
  3. CStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

Correct answer

A. Statement 1 is false,, Statement 2 is true.

Step-by-step solution

Statement-1 Points (1, 2, 2), (2, 1, 2), (2, 2, z) and (1, 1, 1) are coplanar then z=2 which is false. aligned & | array ccc 1 & -1 & 0 1 & 0 & z-2 0 & -1 & -1 array |=0 & 1(z-2)+1(-1)=0 z=3 aligned Statement -2 is the true statement.

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