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NIMCET Previous Year Questions (PYQs)

NIMCET Determinants PYQ

NIMCET PYQ
If x, y, z are distinct real numbers then  = 0, then xyz=





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

NIMCET PYQ
The system of equations $x+2y+2z=5$, $x+2y+3z=6$, $x+2y+\lambda z=\mu$ has infinitely many solutions if 





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

NIMCET PYQ
For an invertible matrix A, which of the following is not always true:





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ
If $D={\begin{vmatrix}{1} & 1 & {1} \\ 1 & {2+x} & {1} \\ {1} & {1} & {2+y}\end{vmatrix}}\, for\, x\ne0,\, y\ne0$ then D is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ
If a, b, c are the roots of the equation , then the value of  is





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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

NIMCET PYQ
If the system of equations $3x-y+4z=3$ ,  $x+2y-3z=-2$ , $6x+5y+λz=-3 $   has atleast one solution, then $λ=$





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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

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NIMCET PYQ
The number of values of k for which the linear equations
4x + ky + z = 0
kx + 4y + z = 0
2x + 2y + z = 0
posses a non-zero solution is





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Since, equation has non-zero solution.
Δ = 0
NIMCET PYQ
Let A = (aij) and B = (bij) be two square matricesof order n and det(A) denotes the determinant of A. Then, which of the following is not correct.





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution


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