Home
Class 12
MATHS
The parameter on which the value of the ...

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

A

a

B

p

C

d

D

x

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 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 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 :

(cos 9x - cos 5x )/( sin 17 x- sin 3x )=- (sin 2x)/( cos 10x )

d/dx {(cosx + sinx)/(cos x - sin x)} =

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

d/dx (sin x)^(cos x) =

Find the value of the determinants (i) {:[( cos theta , -sin theta ),( sin theta , cos theta ) ]:}" " (ii) {:[( x^(2) -x+1,x-1),( x+1,x+1) ]:}

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

d/dx {cos^(-1)x + sin^(-1)x}=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  2. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  3. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  4. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...

    Text Solution

    |

  5. l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...

    Text Solution

    |

  6. If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(...

    Text Solution

    |

  7. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  8. The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...

    Text Solution

    |

  9. If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...

    Text Solution

    |

  10. If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

    Text Solution

    |

  11. If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...

    Text Solution

    |

  12. The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

    Text Solution

    |

  13. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

    Text Solution

    |

  14. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

    Text Solution

    |

  15. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

    Text Solution

    |

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

    Text Solution

    |

  17. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  18. |[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

    Text Solution

    |

  19. If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=

    Text Solution

    |

  20. The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin ...

    Text Solution

    |