Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

For which value of k, the given system of linear equations is inconsistent ?

$3x+6y + 3z = 4 $

$x+ ky + 2z= 6 $

$z= 7 $

Options:

k= -2

k = 0

k = 2

k = 1

Correct Answer:

k = 2

Explanation:

The correct answer is Option (3) → $k = 2$

For inconsistent

$|A|=\begin{vmatrix}3&6&3\\1&k&2\end{vmatrix}=0$

$⇒3k-6=0⇒k=2$