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NIMCET Previous Year Questions (PYQs)

NIMCET Determinants PYQ


NIMCET PYQ 2019
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 2024
The system of equations x+2y+2z=5, x+2y+3z=6, x+2y+λz=μ has infinitely many solutions if 





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution


NIMCET PYQ 2024
For an invertible matrix A, which of the following is not always true:





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution


NIMCET PYQ 2022
If D=|11112+x1112+y|forx0,y0 then D is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2018
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

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NIMCET PYQ 2021
If the system of equations 3xy+4z=3x+2y3z=2 , 6x+5y+λz=-3   has atleast one solution, then λ=





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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution


NIMCET PYQ 2020
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 2020
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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