If the system of equations 2 x+3 y-z=0, x+k y-2 z=0 and z x-y+z=0 has a non-trivial…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If the system of equations \(2 x+3 y-z=0, x+k y-2 z=0\) and \(z x-y+z=0\) has a non-trivial solution (x, y, z) then \(\frac{x}{y}+\frac{y}{z}+\frac{z}{x}+k\) is equal to:
- \(\frac{1}{2}\)
- \(\frac{3}{4}\)
- \(-\frac{1}{4}\)
- -4
Answer
(A) 1 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If A= [ array ll 1 & 0 1 & 1 array ] then A –n is equal to -
- Consider the system of linear equations x 1 + 2x 2 +x 3 = 3 2x 1 + 3x 2 + x 3 = 3 3x 1 + 5x 2 + 2x 3 = 1 The…
- A skew symmetric matrix S satisfies the relation 5^ 2 +I=0 , where I is a unit matrix, then SS' is equal to
- The system of equations kx + y + z = 1 x + ky + z = k x + y + kz = k 2 has no solution if k equals
- The greatest value of c R for which the system of linear equations array l x-c y-c z=0 x-y+c z=0 x+c y-z=0…
- If A= [ array ccc 1 & -3 & 2 2 & k & 5 4 & 2 & 1 array ] is a singular matrix, then k is equal to
- Let A= ( array ccr 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ) and 108= ( array lcc 4 & 2 & 2 -5 & 0 & x 1 & -2 &…
- If the system of linear equations array l 2 x+2 y+3 z=0 3 x-y+5 z=b x-3 y+2 z=c array where a, b, c are non…
More Matrices and Determinants questions · Browse all practice questions