Home
Class 12
MATHS
when the determinant |{:(cos2x,,sin^(2)...

when the determinant `|{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,cos^(2)x),(cos4x,,cos^(2)x,,cos 2x):}|`
expanded in powers of sin x then the constant term in that expression is

A

1

B

2

C

-1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - C|7 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - D|16 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION A|33 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If the determinant |(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(cos 4x,cos^2 x,cos 2x)| is expanded in powers of sin x , then the constant term is

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

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

Solve (1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)

int (cos^(2)x+sin 2x)/((2 cos x- sin x)^(2))dx

If y=(sin^(4)x-cos^(4)x+sin^(2) x cos^(2)x)/(sin^(4) x+ cos^(4)x + sin^(2) x cos^(2)x), x in (0, pi/2) , then

int(sin x cos x)/(a^(2)sin^(2)x+b^(2)cos^(2)x)dx

(cos(pi-x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^(2)x

Evaluate : (i) int (cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos^2x)dx

Compute the following: [[cos^2x, sin^2x],[sin^2 x, cos^2 x]]+[[sin^2x, cos^2 x],[cos^2 x, sin^2 x]]

AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION - B
  1. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

    Text Solution

    |

  2. If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...

    Text Solution

    |

  3. If A is a matrix of order 3 and |A|=8 , then |a d j\ A|= (a) 1 (b)...

    Text Solution

    |

  4. The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...

    Text Solution

    |

  5. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

    Text Solution

    |

  6. The value of |{:(x,x^2-yz,1),(y,y^2-zx,1),(z,z^2-xy,1):}| is

    Text Solution

    |

  7. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

    Text Solution

    |

  8. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

    Text Solution

    |

  9. when the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...

    Text Solution

    |

  10. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

    Text Solution

    |

  11. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

    Text Solution

    |

  12. if a,b,c are positive and are the pth qth and rth terms respectively ...

    Text Solution

    |

  13. Let a , b and c be positive and not all equal. Show that the va...

    Text Solution

    |

  14. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

    Text Solution

    |

  15. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

    Text Solution

    |

  16. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

    Text Solution

    |

  17. find the larget value of a third- order determinant whose elements a...

    Text Solution

    |

  18. If |{:(,x^(k),x^(k+2),x^(k+3)),(,y^(k),y^(k+2),y^(k+3)),(,z^(k),z^(k+2...

    Text Solution

    |

  19. If all elements of a third order determinant are equal to 1 or -1. the...

    Text Solution

    |

  20. If A is a 3xx3 matrix and det (3A) = k det(A) , k is equal to:

    Text Solution

    |