A point $P(3a, -2b)$ lies in region $4x + 7y \leq (-3)$ which of the following options is true ?

The set of values of $x$ satisfying $26 \equiv 5 \pmod{x}$ is _______.

If A is square matrix of order 3 with $|A| = 3$, then $|4 \text{ adj} A|$ is equal to :

Let $P = \begin{bmatrix} 5 & 2 \\ 7 & 4 \end{bmatrix}$, $Q = \begin{bmatrix} 2 & 5 \\ 3 & 8 \end{bmatrix}$, $R = \begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix}$, then the matrix S such that QS - RP = 0 will be :

If A and B are events such that $P(A/B) = P(B/A)$, then :

The area of the triangle with vertices $(1,4), (2,7)$ and $(4,13)$ is :

If $A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix}$ and $B = \begin{bmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3 \end{bmatrix}$, then AB is equals to :