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|{:(x+a," "b," "c),(" "a,x+b," "c),(" "a...

`|{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c):}|=0`

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The correct Answer is:
0,-(a+b+c)
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If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2

Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a+b+c!=0.

If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

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Prove that (a+b+c+x) is a factor of |(x+a, b,c),(b,x+c,a),(c,a,x+b)|

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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B
  1. |{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}|=0[where" "a neb nec]

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  2. Solve: |{:(3,5,x),(7,x,7),(x,5,3):}|=0

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  3. |{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c):}|=0

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  4. |{:(3x-8," "3," "3),(" "3,3x-8," "3),(" "3," "3,3x-8):}|=0

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  5. |{:(15-2x,11-3x,7-x),(11,17,14),(10,16,13):}|=0

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  6. |{:(" "1," "1," "x),(p+3,p+1,p+x),(" "3,x+1,x+1):}|=0

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  7. If x and y are real and x +iy=|{:(6i,-3i,1),(4,3i,-1),(20,3,i):}|=0 , ...

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  8. solve : |{:(x-2,2,5),(x-7,3,6),(2x-6,4,7):}|=0

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  9. solve |{:(x-2," "3," "3),(" "3,x+4," "5),(" "3," "5,x+4):}|=0

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  10. show that x =2 is a root to the equation |{:(x,-6,-1),(2,-3x,x-3),(-...

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  11. |{:(" "1+a^2-b^2," "2ab," "-2b),(" "2ab,1-a^2+b^2," ...

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  12. |{:((b+c)^2," "a^2," "a^2),(" "b^2,(c+a)^2," "b^2),(" "c^2," "c^2,(...

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  13. Factorise : |{:(x,y,z),(x^2,y^2,z^2),(yz,zx,xy):}|

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  14. |{:(b+c,a,b),(c+a,c,a),(a+b,b,c):}|

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  15. If |{:(x,x^2,x^3+1),(y,y^2,y^3+1),(z,z^2,z^3+1):}|=a and x ney nez , p...

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  16. Evaluate |{:(0,c,b),(c,0,a),(b,a,0):}|, hence show that . |{:(0,c,b)...

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  17. Express the square of |{:(a1,b1,0),(a2,b2,0),(a3,b3,0):}| as a third o...

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  18. prove that |{:(a,b,0),(0,a,b),(b,0,a):}|=a^3+b^3 , hence , find the va...

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  19. Prove that , the value of the determinant |{:(x+1,x+2,x+4),(x+3,x+5,...

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  20. |{:(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b):}|=8abc

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