- Home
- Standard 12
- Mathematics
3 and 4 .Determinants and Matrices
medium
$k \in R$ ની કઈ કિમંત માટે આપેલ સમીકરણ સંહતિ $3 x-y+4 z=3$ ; $x+2 y-3 x=-2$ ; $6 x+5 y+k z=-3$ ને અનંત ઉકેલ ધરાવે છે.
A
$3$
B
$-3$
C
$5$
D
$-5$
(JEE MAIN-2021)
Solution
$\left|\begin{array}{ccc}3 & -1 & 4 \\ 1 & 2 & -3 \\ 6 & 5 & K\end{array}\right|=0$
$\Rightarrow 3(2 \mathrm{~K}+15)+\mathrm{K}+18-28=0$
$\Rightarrow 7 \mathrm{~K}+35=0 \Rightarrow \mathrm{K}-5$
Standard 12
Mathematics