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If alpha,beta,gamma are the roots of x^(...

If `alpha,beta,gamma` are the roots of `x^(3)+2x^(2)-x-3=0`. If the absolute value of the expression `(alpha-1)/(alpha+2)+(beta-1)/(beta+2)+(gamma-1)/(gamma+2)` can be expressed as `(m)/(n)` where m and n are co-prime the value of `|{:(m,n^(2)),(m-n,m+n):}|` is

A

17

B

27

C

37

D

47

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-DETERMINANTS -Exercise (Passage Based Questions)
  1. Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+lambda z=m...

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  2. Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+lambda z=m...

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  3. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  4. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  5. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  6. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of ...

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  7. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0. If the abso...

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  8. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0. If a = al...

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  9. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  10. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  11. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  12. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  13. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  14. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  15. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  16. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  17. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  18. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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  19. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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  20. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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