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The value of |(.^(10)C(4).^(10)C(5).^(11...

The value of `|(.^(10)C_(4).^(10)C_(5).^(11)C_(m)),(.^(11)C_(6).^(11)C_(7).^(12)C_(m+2)),(.^(12)C_(8).^(12)C_(9).^(13)C_(m+4))|` is equal to zero when `m` is

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Explore conceptually related problems

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

The value of .^(20)C_(10)+.^(20)C_(1)+.^(20)C_(2)+.^(20)C_(3)+.^(20)C_(4)+.^(20)C_(12)+.^(20)C_(13)+.^(20)C_(14)+.^(20)C_(15) is

|(.^10C_4,.^10C_5,.^11C_m),(.^11C_6,.^11C_7, .^12C_(m+2)),(.^12C_8,.^12C_9,.^13C_(m+4))|=0 then find the value of m

The value of .^(13)C_(7)+.^(13)C_(8)+.^(13)C_(9)+.^(13)C_(10)+.^(13)C_(11)+.^(13)C_(12)+.^(13)C_(13) is equal to

int(x-.^(11)C_(1)x^(2)+.^(11)C_(2)x^(3)-.^(11)C_(3)x^(4)+...-.^(11)C_(x^(12)))dx equal to

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

FIITJEE-DETERMINANT-SOLVED PROBLEMS (OBJECTIVE)
  1. If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(b...

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  2. The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has

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  3. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

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  4. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

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  5. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

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  6. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

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  7. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  8. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

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  9. A 3 xx 3 determinant has its entries 1 or-1 . The number of such deter...

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  10. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

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  11. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

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  12. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

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  13. Statement -1 : Let a,b,c are the sides of a DeltaABC such that |{:(a,a...

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  14. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  15. Let f(x) =|(x,1,1), (sin2pix, 2x^2,1), (x^3,3x^4,1)|. If f(x) be an od...

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  16. If a,b, and c be non-zero real numbers such that |{:(1+a,1,1),(1,1+b...

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  17. Let A and B be two matrices (neither null nor singular ) with real ent...

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  18. Which of the following options is the only correct combination ?

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  19. Which of the following options is the only correct combination ?

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  20. Which of the following options is the only correct combination ?

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