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Determinants — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDeterminants1 Mark
MCQ
System of linear equation 5x + ky = 5, 3x + 3y = 5 is consistent, if :
  • A
    $k \neq-3$
  • B
    $k=-5$
  • C
    $k=5$
  • ✓
    $k \neq-5$
✓

Answer

Correct option: D.
$k \neq-5$
(D) System of linear equation is consistent if
$
\begin{aligned}
\left|\begin{array}{cc}
5 & k \\
3 & 3
\end{array}\right| & \neq 0 \\
15-3 k & \neq 0 \\
3 k & \neq 15 \\
k & \neq 5
\end{aligned}
$

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