Home
Class 12
MATHS
If A=|(1+cosalpha,1+sinalpha,1),(1+cosbe...

If `A=|(1+cosalpha,1+sinalpha,1),(1+cosbeta,1+sinbeta,1),(1,1,1)|ne0` , then :

A

`alpha = beta`

B

`alpha ne beta+npi`

C

`alpha ne beta +pi//2`

D

`alpha ne beta - pi//2 , ` n being any integer .

Text Solution

Verified by Experts

The correct Answer is:
B
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 distance between the points (a cosalpha, a sinalpha) and (a cosbeta, a sinbeta) where a> 0

The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalpha,cosalpha,sinbeta),(-cosalpha,sinalpha,cosbeta)|=0 is independent of :

[{:(sinalpha,cosalpha,sin(alpha+delta)),(sinbeta,cosbeta,sin(beta+delta)),(singamma,cosgamma,sin(gamma+delta)):}]=

If A=[[0,1],[1,0]] , then A^4 =

IF {:|(sinalpha,cosbeta),(cos alpha,sin beta)|=1/2 , where alpha and beta are acute angles then write the value of alpha + beta.

If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=0 then the value of 1+1/a+1/b+1/c is :

The maximum value of : (cosalpha_(1)).(cosalpha_(2))....(cosalpha_(n)) under the restrictions : 0lt=alpha_(1),a_(2),......,alpha_(n)lt=pi/2 and (cotalpha_(1))(cotalpha_(2)).....(cotalpha_(n)) = 1 is :

MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
  1. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  2. Given a,b,c are in A.P. Then determinant : |(x+1,x+2,x+a),(x+2,x+3,x...

    Text Solution

    |

  3. If A=|(1+cosalpha,1+sinalpha,1),(1+cosbeta,1+sinbeta,1),(1,1,1)|ne0 , ...

    Text Solution

    |

  4. If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...

    Text Solution

    |

  5. If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy ...

    Text Solution

    |

  6. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

    Text Solution

    |

  7. If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |