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If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(...

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

A

6

B

4

C

5

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
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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. If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...

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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),g(x)andh(x) are three polynomials of degree 2 , then prove tha...

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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+...

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

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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 , c are non-zero real numbers and if the system of equations ...

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

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