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IMPORTANT
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If determinant cosθ+ϕsinθ+ϕcos2ϕsinθcosθsinϕcosθsinθcosϕ is

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Important Questions on Determinants

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JEE Main/Advance
IMPORTANT
If gx=a-xexlogeax2a-3xe3xlogeax4a-5xe5xlogea1, then
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JEE Main/Advance
IMPORTANT
If x=x2+4x-32x+4132x2+5x-94x+5268x2-6x+116x-6104=ax3+bx2+cx+d, then
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JEE Main/Advance
IMPORTANT
If yz-x2zx-y2xy-z2xz-y2xy-z2yz-x2xy-z2yz-x2zx-y2=r2u2u2u2r2u2u2u2r2, then
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JEE Main/Advance
IMPORTANT

Which of the following is/ are true for =a21a+c0b2+1b+c0b+cc2+1 ?

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JEE Main/Advance
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The values of kR  for which the system of equations x+ky+3z=0, kx+2y+2z=0, 2x+3y+4z=0 has non-trivial solution are
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JEE Main/Advance
IMPORTANT

The system of equations -2x+y+z=ax-2y+z=bx+y-2z=c has

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JEE Main/Advance
IMPORTANT
Let α,β and γ be the roots of the equation, x3+ax2+bx+c=0, a0. If the system of equations αx+βγ+γz=0, βx+γy+αz=0 and γx+αy+βz=0 has non-trivial solution, then
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JEE Main/Advance
IMPORTANT
If a1,a2,a3,5,4,a6,a7,a8,a9 are in H.P., and D=a1a2a354a6a7a8a9, then the value of D is (where . represents the greatest integer function)______.