Home
Class 12
MATHS
The value of the determinant : Delta=...

The value of the determinant :
`Delta=|(a^2,a,1),(cosnx,cos(n+1)x,cos(n+2)x),(sinnx,sin(n+1)x,sin(n+2)x)|` is : in dependent is :

A

n

B

a

C

x

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|5 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

Similar Questions

Explore conceptually related problems

The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n+1)x),(sin(n-1)x , sin nx , sin(n+1)x):}| is zero if

The parameter on which the value of the determinant |[1, a, a^2],[cos (p-d) x ,cos p x, cos (p+d) x],[sin (p-d) x, sin p x, sin (p+d) x]| does not depend upon is

int(cos^(n-1)x)/(sin^(n+1)x)dx,n ne 0 is :

The value of the integral int_0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n) x)dx is :

int(cos^(n-1)x)/(sin^(n+1)x)dx, n ne 0 is

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

The value of the integral intunderset(0)overset(pi)(x sin^(2n)x)/(sin^(2x)x+cos^(2n)x) dx is

int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

If y=sin^(n)x cos n x, then (dy)/(dx) is

MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
  1. If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB...

    Text Solution

    |

  2. If, p,q,r are negative distinct real numbers , then the determinant De...

    Text Solution

    |

  3. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

    Text Solution

    |

  4. If alpha, beta and gamma are real numbers, then : Delta=|(1,cos(beta...

    Text Solution

    |

  5. If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals...

    Text Solution

    |

  6. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

    Text Solution

    |

  7. The value of theta satisfying : |(sin3theta,-2,3),(cos2theta,8,-7),(...

    Text Solution

    |

  8. Let f(x)=|(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x)| ...

    Text Solution

    |

  9. If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a...

    Text Solution

    |

  10. Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=|(x,b),(a,x)| are the given d...

    Text Solution

    |

  11. If p+q+r=a+b+c=0 , then the value of : |(pa,qb,rc),(qc,ra,pb),(rb,pc...

    Text Solution

    |

  12. |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=

    Text Solution

    |

  13. If one of the roots of the equation |(7,6,x),(2,x,2),(x,3,7)|=0 is : ...

    Text Solution

    |

  14. If a,b,c gt 0 and x,y,z , in R then the determinant : |((a^x+a^(-x)...

    Text Solution

    |

  15. If a^2+b^2+c^2=0 and |(b^2+c^2,ab,ac),(ab,c^2+a^2,bc),(ac,bc,a^2+b^2)|...

    Text Solution

    |

  16. If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...

    Text Solution

    |

  17. The value of the determinant : |(1,cos(beta-alpha),cos(gamma-alpha)),(...

    Text Solution

    |

  18. The sum of two non - integral roots of |(x,2,5),(3,x,3),(5,4,x)|=0 is ...

    Text Solution

    |

  19. If Delta1=|(1,1,1),(a,b,c),(a^2,b^2,c^2)|, Delta2=|(1,bc,a),(1,ca,b),(...

    Text Solution

    |

  20. If alpha, beta are non - real numbers satisfying x^3-1=0, then the val...

    Text Solution

    |