Practicing Success
Practicing Success
CUET Preparation Today
If $xyz = – 2007$ and $Δ =\begin{vmatrix}a+x&b&c\\a&b+y&c\\a&b&c+z\end{vmatrix}= 0$, then value of $ayz + bzx + cxy$ is |
-2007 2007 0 $(2007)^2$ |
2007 |
$R_2 → R_2 – R_3, R_1 → R_1 – R_2$ $\begin{vmatrix}x&-y&0\\0&y&-z\\a&b&c+z\end{vmatrix}=0$ $⇒x(cy + yz + bz) + y (az) = 0$ $cxy + xyz + bzx + ayz = 0$ $cxy + bzx + ayz = 2007$ |
