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if `[[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2` then find the value of `lambda`

A

2

B

4

C

-4

D

8

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION A
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  5. |{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is equal to:

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  6. |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

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

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

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  9. |{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}| is equal to

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

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  11. 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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  12. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

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  13. 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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  14. 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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  15. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

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  16. If a, b,c> 0 and x,y,z in RR then the determinant |((a^x+a^-x)^2,(a...

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  17. The determinant D=|{:(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sina...

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  18. Sum of real roots of the euation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

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  19. Let a ,\ b and c denote the sides B C ,\ C A and A B respectively of ...

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  20. The parameter on which the value of the determinant |[1,a...

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