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Matrices and Determinants question

2008 · Shift 1 · Q46

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PYQ Library
JEE Advanced
Mathematics
Matrices and Determinants
2008 · Shift 1 · Q46

Matrices and Determinants question

2008 · Shift 1 · Q46

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1

Consider the system of equations:

x-2y+3z=-1-x+y-2z=kx-3y+4z=1

Statement - 1 : The system of equations has no solution for

k e3

. and Statement - 2 : The determinant

\left| {\begin{matrix} 1 & 3 & { - 1} \\ { - 1} & { - 2} & k \\ 1 & 4 & 1 \\ \end{matrix} } \right| e 0

, for

k e 3

.

A
Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1
B
Statement - 1 is True, Statement - 2 is True; Statement - 2 is NOT a correct explanation for Statement - 1
C
Statement - 1 is True, Statement - 2 is False
D
Statement - 1 is False, Statement - 2 is True

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