|(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2...

`|(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ac,c-a,ab-a^(2))|=`

A

0

B

abc

C

`a+b+c`

D

`ab+bc+ca`

Text Solution

Verified by Experts

The correct Answer is:

A

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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)

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The determinant Delta=|(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=
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If omega is a cube root of unit, then Delta=|(x+1,omega, omega^(2)),(o...
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|(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...
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If |(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0 and vecto...
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If a,b,c are all different and |(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1),(c...
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If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...
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If a,b,c are all different and |(1+a^(2),1+b^(2),1+c^(2)),(a,b,c),(a^(...
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If p+q+r=0 and |(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)|=k|(a,b,c),(c,a,b),(b...
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If Delta=|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=k(a-b)(b-c)(c-a) then k...
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If abc!=0 and if |(a,b,c),(b,c,a),(c,a,b)|=0 then (a^(3)+b^(3)+c^(3))/...
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|(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=
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Let A=[(5,5 alpha, alpha),(0, alpha, 5 alpha),(0,0,5)] If |A|^(2)=25 t...
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If k gt1, and the determinant of the matrix A^(2), where A=[(k,kalpha,...
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