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

`|((b+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2))|=`

A

`(a+b+c)(c-a)`

B

`abc(a+b+c)^(3)`

C

`(a-b)(c-c)(c-a)(a+b+c)^(2)`

D

`2abc(a+b+c)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |(b^(3)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ca,bc,a^(3)+b^(2))|=

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  2. 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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  3. |((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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  4. |((a+b)^(2),ca,bc),(ca,(b+c)^(2),ab),(bc,ab,(c+a)^(2))|=

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  5. IfA=[(1,-2,0),(5,2,3),(1,1,x)] and det(A)=3 Find x=

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  6. If |(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2))|=k the...

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  7. Prove that |{:(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^(2),2a),(2b,-2a...

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  8. |(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

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  9. |(1,1,1),(a,b,c),(bc,ca,ab)|=

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  10. |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=

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  11. |(1,1,1),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=

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  12. |(1,1,1),(a^(2),b^(2),c^(2)),(a^(3),b^(3),c^(3))|=

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

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

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  15. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

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  16. If A(x)=|(1,1,1),((e^(x)+e^(-x))^(2),(pi^(x)+pi^(-x))^(2),2),((e^(x)-e...

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  17. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

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

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

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

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