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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

A

6

B

4

C

5

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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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)

ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
  1. If A,B and C are angle of a triangle of a triangle ,the value of |{:(...

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  2. If |{:(x^(n),x^(n+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5)):}|...

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

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  4. If a(1),b(1),c(1),a(2),b(2),c(2) "and" a(3),b(3),c(3) are three digit ...

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  5. If a,b,and c are sides of Delta ABC such that |{:(c,bcosB+alphabeta,ac...

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  6. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

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

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  8. The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-be...

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  9. If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...

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  10. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

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  11. If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|= (a -b) (b -c) (c -a) (a + b+...

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  12. Let a ,b , c in R such that no two of them are equal and satisfy |2a ...

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  13. The number of positive integral solutions of the equation |(x^3+1,x^2y...

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  14. If f(x)=ax^(2)+bx+c,a,b,c in R and eqation f(x)-x=0 has imaginary roo...

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  15. If the system of equtions 2x-y+z=0,x-2y+z=0, tx-y+2z=0 has infinitel...

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  16. if (1+ax+bx^(2))^(4)=a(0) +a(1)x+a(2)x^(2)+…..+a(8)x^(8), where a,b,a(...

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  17. Given (f(x) =log(10) x and g(x) = e^(piix) . phi (x) =|{:(f(x).g(x),...

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  18. The value of the determinant |(1,(alpha^(2x)-alpha^(-2x))^2,(alpha^(2...

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  19. If a,b and c are non-zero real numbers and if the equation (a-1)x=y+z,...

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  20. the set of equations lambdax-y+(cos 0) z=0,3x+y+2z=0 (cos 0) x+y+2z...

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