Home
Class 12
MATHS
Let |{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+...

Let `|{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+2,x-1),(x^(2)+5x+1,2x+3,x+4):}|`
`=ax^(4)+bx^(3)+cx^(2)+dx+e` be an identity in x.
If a,b,c,d are known, then the value of e is

A

29

B

24

C

16

D

9

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TS EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER (2018)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2016

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematic|80 Videos

Similar Questions

Explore conceptually related problems

If y = (x^4 - x^2 + 1)/(x^2 + sqrt(3)x + 1) and (dy)/(dx) = ax + b , then the value of a - b is

If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, then show that a + c +e =b +d=0

If int (x sqrt(x) -1)/(sqrt(x) -1) dx = ax^(2) + bx^(3//2) + cx + d then ascending order of a, b, c, is

If f: R to R is defined by f(x) = x^(2)-3x+2 and f(x^(2)-3x-2) =ax^(4) + bx^(3) + cx^(2) +dx +e , then a+b+c+d+e =

A(x)=|{:(1,2,3),(x+1,2x+1,3x+1),(x^(2)+1,2x^(2)+1,3x^(2)+1):}|rArrint_(0)^(1)A(x)dx=

int e^(x).(x^(3) + x + 1)/((1 + x^(2))^(3//2)) dx =

If x!=0 and |(1,x,2x),(1,3x,5x),(1,3,4)|=0 then x=

If int x^(3) e^(-x) " dx = " - e^(-x) [ ax^(3) + bx^(2) + cx + d] K then (a, b,c,d) =

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2015-MATHEMATICS
  1. The remainder of n^(4)-2n^(3)-n^(2)+2n-26 when divided by 24, is

    Text Solution

    |

  2. A(x)=|{:(1,2,3),(x+1,2x+1,3x+1),(x^(2)+1,2x^(2)+1,3x^(2)+1):}|rArrint(...

    Text Solution

    |

  3. Let |{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+2,x-1),(x^(2)+5x+1,2x+3,x+4):}...

    Text Solution

    |

  4. The system of equations 4x+y+2z=5, x-5y+3z=10, 9x-3y+7z=20 has

    Text Solution

    |

  5. If 1,omega,omega^(2) are the cube roots of unity and alpha=omega+2omeg...

    Text Solution

    |

  6. If alpha, beta are the roots of 1 + x + x^(2)= 0, then the value of al...

    Text Solution

    |

  7. If alpha,beta are the roots of the equation x^(2) - 4x + 8 = 0. Them f...

    Text Solution

    |

  8. If alpha,beta are non - real cube roots of 2, then alpha^(6) + beta^(6...

    Text Solution

    |

  9. Let alpha!=beta satisfy alpha^(2)+1=6alpha,beta^(2)+1=6beta. Then, the...

    Text Solution

    |

  10. The set of solutions of |x| ^2-5|x|+4 lt 0 is

    Text Solution

    |

  11. Let alpha,beta,gamma be the roots of x^(3)+x+10=0 and alpha(1)=(alpha+...

    Text Solution

    |

  12. Suppose alpha,beta.gamma are the root of x^(3)+x^(2)+x+2=0. Then, the...

    Text Solution

    |

  13. overset(10)underset(r=0)sum^(40-r)C(5) is equal to

    Text Solution

    |

  14. IF a polygon has 35 diagonals , then the number of sides of t...

    Text Solution

    |

  15. If x=1+(3)/(1!)xx(1)/(6)+(3xx7)/(2!)((1)/(6))^(2)+(3xx7xx11)/(3!)((1)/...

    Text Solution

    |

  16. If |x| is so small that x^2 and higher powers of x may be neglected, t...

    Text Solution

    |

  17. The coefficient of x^(n) in the expansion of (1)/(x^(2)-5x+6)"for"|x|l...

    Text Solution

    |

  18. In a Delta ABC, the value of angle A is obtained from the eq...

    Text Solution

    |

  19. Match the differential equations in List I to their integrating facto...

    Text Solution

    |

  20. The solution of the differential equation xy' = 2xe^(-y//x) + y is

    Text Solution

    |