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

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

  • Option 1)

    Infinitely many solutions

  • Option 2)

    No solution

  • Option 3)

    A unique solution

  • Option 4)

    None of these 

 

Answers (1)

best_answer

As we have learned

Symmetric determinants -

The elements situated at equal distance from the diagonal are equal both in magnitude and sign

- wherein

\begin{vmatrix} a &h & g\\ h& b & f\\ g& f & c \end{vmatrix}

 

 

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

                        Similarly \Deltax = \Deltay = \Deltaz = 0.

            Hence (A) is the correct answer


Option 1)

Infinitely many solutions

Option 2)

No solution

Option 3)

A unique solution

Option 4)

None of these 

Posted by

gaurav

View full answer

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