#### Explain solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 38 maths textbook solution.

Hint: Here we use basic concept of determinant of matrix

Given: $\left|\begin{array}{ccc} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 6 x & 9 x & 12 x \end{array}\right|$

Solution :

Let's take 3x common fom 3rd row

$=3 x\left|\begin{array}{lll} 2 & 3 & 4 \\ 5 & 6 & 8 \\ 2 & 3 & 4 \end{array}\right|$

$\rightarrow$ Here we can exan clearly see that two roes are identical

So, it's determinate is 0

$\rightarrow \text { So } 3 x \times 0=0$

$\rightarrow$ Our answer is zero