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JEE Main & Advanced JEE Main Paper (Held On 12 May 2012)

  • question_answer
    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 PQRS is O.     JEE Main Online Paper (Held On 12 May 2012)

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

    B)                        Statement 1 is true. Statement 2 is false.

    C)                        Statement 1 is true. Statement 2 is true, Statement 2 is a correct explanation of Statement 1.

    D)                        Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement!.

    Correct Answer: A

    Solution :

                    Statement-1 Points (l,2,2), (2,1,2), (2,2,z) and (1,1,1) are coplanar then z = 2 which is false. \[\because \]\[\left| \begin{matrix}    1 & -1 & 0  \\    1 & 0 & z-2  \\    0 & -1 & -1  \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[1(z-2)+1(-1)=0\Rightarrow z=3\] Statement - 2 is the true statement.


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