Let \(a,b\) and \(c\) are real numbers which are in arithmetic progression. Let \(\triangle=\left|\begin{array}{lll} 2y+4 & 5y+7 & 8y+a\\ 3y+5 & 6y+8 & 9y+b\\ 4y+6& 7y+9& 10y+c\end{array}\right|\) Then

\(\triangle\) depends on values of \(a,b,c\) \(\triangle\) depends on values of \(x,y,z\) \(\triangle\) is always zero \(\triangle\) is a non-negative real number

\(\triangle\) is always zero

Apply the row operations \(R_{1}\rightarrow R_{1}+R_{3}-2R_{2}\)