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The value of the determinant |{:(""^5C0,...

The value of the determinant `|{:(""^5C_0,""^5C_3,14),(""^5C_1,""^5C_4,1),(""^5C_2,""^5C_5,1):}|` is

A

0

B

`-(6!)`

C

80

D

-576

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE-DETERMINANTS -SECTION - B
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  2. If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...

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  3. If A is a matrix of order 3 and |A|=2, then A |adj A| is

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  4. The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...

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  5. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

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  6. The value of |{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}| is

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  7. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

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  8. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

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  9. If the determinant |(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(...

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  10. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

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  11. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

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  12. If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") te...

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  13. Let a, b, c be positive and not all equal. Then possible value of the ...

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  14. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

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  15. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

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  16. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

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  17. The largest value of a third order determinant whose elements are equa...

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  18. If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...

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  19. If all elements of a third order determinant are equal to 1 or -1. the...

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  20. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

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