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Matrices and Determinants question

2023 · 6 Apr · Shift 2 · Q35

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JEE Main
Mathematics
Matrices and Determinants
2023 · 6 Apr · Shift 2 · Q35

Matrices and Determinants question

2023 · 6 Apr · Shift 2 · Q35

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

For the system of equations

x+y+z=6x+2 y+\alpha z=10x+3 y+5 z=\beta

, which one of the following is NOT true?

A
System has a unique solution for $\alpha=3,\beta e14$ .
B
System has infinitely many solutions for $\alpha=3, \beta=14$ .
C
System has no solution for $\alpha=3, \beta=24$ .
D
System has a unique solution for $\alpha=-3, \beta=14$ .

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