Home
Class 12
MATHS
Let f(x) denotes the determinant f(x)|...

Let f(x) denotes the determinant
f(x)`|{:(x^(2),2x,1+x^(2)),(x^(2)+1,x+1,1),(x,-1,x-1):}|`
On expansion g(x) is seen to be a 4th degree polynomial given by f(X) =`a_(0)x^(4)+a_(1)x^(3)+a_(2)x^(2)+a_(3)xa_(4)`.
Using differentiation of determinant or otherwise match the entries in Column I with one or more entries of the elements of Column II.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Single Option Correct Type Questions|2 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Let f(x) denote the departement f(x)=|{:(x^2,2x,1+x^2),(x^2+1,x+1,1),(x,-1,x-1):}| on expansion f(x) is sen to be a 4th degree polynomial given by f(x)=a_0x^4+a_1x^3+a_2x^2+a_3x+a_4 Using defferentiation of otherwise, match the values of the uantities on the left to those on the right.

Differentiate the following with respect of x:a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-2)++a_(n-1)x+a_(n)

(1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+....+a_(18)x^(18)

Differentiate |x|+a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-1)+...+a_(n-1)x+a_(n)

If log (1-x+x^(2))=a_(1)x+a_(2)x^(2)+a_(3)x^(3)+… then a_(3)+a_(6)+a_(9)+.. is equal to

If (1+2x+3x^(2) )^(10) = a_(0) + a_(1) x + a_(2) x^(2) +…+a_(20) x^(20) , then

If (1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ . . .+a_(20)x^(20), then

If (1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+……+a_(20)x^(20) , then a_(1) equals :

ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let f(x) denotes the determinant f(x)|{:(x^(2),2x,1+x^(2)),(x^(2)+1,...

    Text Solution

    |

  2. If a^(2)+b^(2)+c^(2)=-2 and f(x)= |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x...

    Text Solution

    |

  3. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 ...

    Text Solution

    |

  4. If a1,a2,a3,.....an.... are in G.P. then the determinant Delta=|[logan...

    Text Solution

    |

  5. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

    Text Solution

    |

  6. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

  7. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

    Text Solution

    |

  8. Let a,b,c be such that b(a+c)ne 0. If |{:(,a,a+1,a-1),(,-b,b+1,b-1),(,...

    Text Solution

    |

  9. If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...

    Text Solution

    |

  10. The number of values of k which the linear equations 4x+ky+2z=0 kx...

    Text Solution

    |

  11. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  12. The number of values of k, for which the system of equations (k""+"...

    Text Solution

    |

  13. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  14. The set of the all values of lamda for which the system of linear equa...

    Text Solution

    |

  15. Which of the following values of alpha satisfying the equation |(1+alp...

    Text Solution

    |

  16. The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-l...

    Text Solution

    |

  17. The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,...

    Text Solution

    |

  18. Let a,lambda,mu in R, Consider the system of linear equations ax+2y=la...

    Text Solution

    |

  19. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |