The system of equations x + 2y + 3z = 4,

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The system of equations x + 2y + 3z = 4, 2x + 3y + 4z = 5, 3x + 4y + 5z = 6 has

Options:

Infinitely many solutions

No solution

A unique solution

None of these

Correct Answer:

Infinitely many solutions

Explanation:

Here $Δ=\begin{vmatrix}1&2&3\\2&3&4\\3&4&5\end{vmatrix}=0$, (rows are in AP with common difference 1).

Similarly $Δ_x =Δ_y = Δ_z = 0$

Hence (A) is the correct answer.