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" If " Delta(1) =|{:(x,,b,,b),(a,,x,,b)...

`" If " Delta_(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta_(2)= |{:(x,,b),(a,,x):}|` are the given determinants then

A

`Delta_1=3(Delta_2)_2`

B

`d/(dx)(Delta_1)=3Delta_2`

C

`d/(dx)(Delta_1)=2(Delta_2)^2`

D

`Delta_1=3Delta_2^(2//2)`

Text Solution

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The correct Answer is:
B
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
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  6. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

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  7. If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha ...

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  9. Let "f(x)"=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x...

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

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  12. Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1...

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  13. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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  16. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

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  18. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

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  19. The number of values of k for which the system of the equations (k+1)x...

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  20. 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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  21. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

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