If $\begin{bmatrix$}[r] 2x - y \ x + y \end{bmatrix} = \begin{bmatrix}[r] 9 \ 9 \end{bmatrix}, the value of x and y are :

1. x = 3 and y = 3

2. x = 3 and y = 9

3. x = 3 and y = 6

4. x = 6 and y = 3

If matrix A = $\begin{bmatrix$}[r] x - y & x + y \ y - x & y + x \end{bmatrix} and matrix B = $\begin{bmatrix$}[r] x + y & y - x \ x - y & y + x \end{bmatrix}, then A + B is :

1. $\begin{bmatrix$}[r] 2y & 2x \ 0 & 2(x + y) \end{bmatrix}

2. $\begin{bmatrix$}[r] 2x & 2(x + y) \ 0 & 0 \end{bmatrix}

3. $\begin{bmatrix$}[r] 2x & 2y \ 0 & 2(x + y) \end{bmatrix}

4. $\begin{bmatrix$}[r] 2x - 2y & 2y \ 0 & 0 \end{bmatrix}

Two matrices A and B each of order 2 x 2.

Assertion (A) : A X B = 0 ⇒ A = 0 or B = 0.

Reason (R) : Let $A = \begin{bmatrix$}[r] 2 & 2 \ 5 & 5 \end{bmatrix} ≠ 0 and $B = \begin{bmatrix$}[r] -4 & 3 \ 4 & -3 \end{bmatrix} ≠ 0 but A x B = $\begin{bmatrix$}[r] 2 & 2 \ 5 & 5 \end{bmatrix}\begin{bmatrix}[r] -4 & 3 \ 4 & -3 \end{bmatrix} = 0.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.

Matrix A = $\begin{bmatrix$}[r] x & y \end{bmatrix} and Matrix B = $\begin{bmatrix$}[r] a \ b \end{bmatrix}.

Assertion (A) : Product BA is possible and order of resulting matrix is 2 x 2.

Reason (R) : The product BA of two matrices A and B is possible only if number of rows in matrix B Is same as number of columns in matrix A.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.