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If D(1)=|(a,b,c),(d,e,f),(g,h,k)|,D(2)=|...

If `D_(1)=|(a,b,c),(d,e,f),(g,h,k)|,D_(2)=|(a,g,x),(b,h,y),(c,k,z)|` and `d=tx,e=ty,f=tz` then

A

`D_(1)=tD_(2)`

B

`tD_(1)=D_(2)`

C

`D_(1)=-tD_(2)`

D

`D_(2)=-tD_(1)`

Text Solution

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

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  2. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

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  3. If D(1)=|(a,b,c),(d,e,f),(g,h,k)|,D(2)=|(a,g,x),(b,h,y),(c,k,z)| and d...

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  4. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

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  5. A and B be 3xx3 martrices. Then AB=0 implies

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  6. Which of the following statement is not true?

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  7. P.T the determinant of skew symmetric matrix of order 3 is zero.

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  8. Which of the following is not tre? A is a square matrix. Then

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  9. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

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  10. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

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  11. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

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  12. If a(1),a(2)…… form G.P and a(i)gt0,AAige1, then |(loga(m),loga(m+1),l...

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  13. If a(1),a(2),…………..,a(n), ……… are in G.P and a(i)gt0 for each i then t...

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  14. If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p,...

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  15. If a,b, c are pth, qt, rth terms of a H.P then |(bc,ca,ab),(p,q,r),(1,...

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  16. If =sin px and y(n) is the nth derivative of y then |(y,y(1),y(2)),(y(...

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  17. If F(alpha)=|(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0...

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  18. f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|i...

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  19. Let a,b, c be such that b(a+c)!=0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,c-1...

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  20. If alpha, beta ne 0 and f(n)=a^(n)+beta^(n) and |(3,1+f(1),1+f(2)),(1+...

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