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If 1/a+1/b+1/c=0 then |(1+a,1,1),(1,1+b,...

If `1/a+1/b+1/c=0` then `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=`

A

0

B

abc

C

`-abc`

D

none of these

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If |(1+a(1),a(2),a(3)),(a(1),1+a(2),a(3)),(a(1),a(2),1+a(3))|=0 then a...

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  2. |(1+a,b,c),(a,1+b,c),(a,b,1+c)|=

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  3. If 1/a+1/b+1/c=0 then |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=

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  4. |(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1)|=

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  5. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

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  6. Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

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  7. A=[(1, 5, 6),(2,3,4),(1,1,1)] find rank of A

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  8. |(a,b-c,c+b),(a+c,b,c-a),(a-b,b+a,c)|=

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  9. |(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

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  10. |(a^(2)+2a,2a+1,1),(2a+1,a+2,1),(3,3,1)|

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  11. |(sin^(2)x,cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)|=

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  12. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ij)=k for al...

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  13. If A=[a(ij)] is a square matrix of order nxxn and k is a scalar then |...

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  14. |(x,p,q),(p,x,q),(p,q,x)|=

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  15. Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

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  16. |(a+b,c,c),(b,a+c,b),(a,a,b+c)|=

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  17. |(b^(3)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ca,bc,a^(3)+b^(2))|=

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  18. If |((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c^(2))//a,a),(b,b,(c^(2)+a^(2))...

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  19. |((b+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2...

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  20. |((a+b)^(2),ca,bc),(ca,(b+c)^(2),ab),(bc,ab,(c+a)^(2))|=

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