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If the system of equations `x + 4ay + az = 0 and x + 3by + bz = 0 and x + 2cy + cz = 0` have a nonzero solution, then `a, b, c ( != 0)` are in

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C

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AAKASH INSTITUTE-DETERMINANTS -SECTION A
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  2. If delta =|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| then the value of |(2a1+3...

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  3. If the system of equations x + 4ay + az = 0 and x + 3by + bz = 0 and x...

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  4. Let ax^3+bx^2+cx+d=|{:(3x,x+1,x-1),(x-3,-2x,x+2),(x+3,x-4,5x):}| then ...

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  5. Let x + y + z = 6, 4x + lambday - lambdaz = 0,3x + 2y - 4z = -5. The v...

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  6. If A+B+C=pi, then value of |{:(sin(A+B+C),sinB,cosC),(-sinB,0,tanA),(c...

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  7. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  8. |[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]|=0

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  9. If |{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0, then a+b+c is equal to

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  10. The equation |{:(x-2,3,1),(4x-2,10,4),(2x-1,5,1):}|=0 is satisfied by

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  13. The roots of the equation |{:(x-1,1,1),(1,x-1,1),(1,1,x-1):}|=0 are

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  14. The value of the determinant |{:(1,logba),(logab,1):}| is equal to

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  15. |{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}| is equal to

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  16. if [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2 then find...

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  17. If f(x) =|(1,x,(x+1)),(2x,x(x-1),(x+1)x),(3x(x-1), x(x-1)(x-2),x(x-1)(...

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  18. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

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  19. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

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  20. If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}|is

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