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

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

A

`Delta_(1)=3(Delta_(2))^(2)`

B

`d/(dx)(Delta_(1))=3Delta_(2)`

C

`d/(dx)(Delta_(1))=3Delta_(2)^(2)`

D

`Delta_(1)=3Delta_(2)^(3//2)`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  8. If Delta (x)=|{:(1,cos x,1-cos x),(1+sin x,cos x,1+sinx-cosx),(sinx,si...

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  13. If a^(2) + b^(2) + c^(2) = 0 and |(b^(2) + c^(2) ,ab,ac),(ab,c^(2) + a...

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  14. If theta, phi epsilon R, then the determinant Delta=|(cos theta, - s...

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  15. If Delta(1)=|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)| and Delta(2)=|(a,b,c...

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  16. If x ,y ,z are different from zero and "Delta"=a b-y c-z a-x b c-z a-x...

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  17. If p + q + r = a + b + c = 0, then the determinant |{:(pa,qb,rc),(qc,r...

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