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

`|{:(x+1,x^2+2,x^2+x),(x^2+1,x+1,x^2+2),(x^2+2,x^2+x,x+1):}|=ax^6+bx^5+cx^4+dx^3+ex^2+fx+g" `
then `"f= ........., g=.....`

A

`f=-3,g=7`

B

`f=3,g=-5`

C

`f=-3,g=-9`

D

`f=-4,g=9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice work|34 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Work|90 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

If |{:(x,-6,-1),(2,-3x,x-3),(-3,2x,x+2):}|=0 then x = ……..

If x,y,z in R , then the value of determinant |{:((2^x+2^(-x))^2,(2^x-2^(-x))^2,1),((3^x+3^(-x))^2,(3^x-3^(-x))^2,1),((4^x+4^(-x))^2,(4^x-4^(-x))^2,1):}| is equal to "............"

If Delta (x) =|{:(x^(2)-5x+3,2x-5,3),(3x^(2)+x+4,6x+1,9),(7x^(2)-6x+9,14x-6,21):}| = ax^(3) +bx^(2)+cx+d , then

If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =........

g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

Let |{:(x,2,x),(x^(2),x,6),(x,x,6):}|=Ax^(4)+Bx^(3)+Cx^(2)+Dx+E the value of 5A+4B+3C+2D+E is equal to

f(x)= bx^(2) + cx and d and f(x+ 1) - f(x)= 8x + 3 then…….

If A=[{:(0,1,2),(2,-3,0),(1,-1,0):}]andf(x)=x^(3)+4x^(2)-x , then find f(A).

If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ..........

f(x)= 3x^(2)-1 and g(x)= 3 + x . If f= g then the value of x is…….

KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. The elements of the determinant of order 3xx3 are {0,1}. Then the maxi...

    Text Solution

    |

  2. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

    Text Solution

    |

  3. |{:(x+1,x^2+2,x^2+x),(x^2+1,x+1,x^2+2),(x^2+2,x^2+x,x+1):}|=ax^6+bx^5+...

    Text Solution

    |

  4. Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}| is always …….

    Text Solution

    |

  5. The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has ...

    Text Solution

    |

  6. The equations |{:(7,6,x),(2,x,2),(x,3,7):}|=0 has one root x = -9 then...

    Text Solution

    |

  7. If f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x^2-1))...

    Text Solution

    |

  8. -1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...

    Text Solution

    |

  9. If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then ...

    Text Solution

    |

  10. |{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........

    Text Solution

    |

  11. The area of triangle with vertices (3,2),(8,12) and (11,8) is ……….

    Text Solution

    |

  12. The sum of the cofator of the elements in second column in |{:(7,9,1),...

    Text Solution

    |

  13. |{:(sinx,cosx),(sinx,sinx):}|=|{:(cosx,cosx),(cosx,sinx):}|,x in(0,pi/...

    Text Solution

    |

  14. The equations of line passing through (-7,8) and (5,8) is ………

    Text Solution

    |

  15. If |{:(x,4,10),(5,2,5),(7,3,x):}|=0 then x in …………

    Text Solution

    |

  16. D=|{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}| then,

    Text Solution

    |

  17. The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero...

    Text Solution

    |

  18. If Delta1=|{:(x,b,b),(a,x,b),(a,a,x):}|and Delta2=|{:(x,b),(a,x):}| ar...

    Text Solution

    |

  19. If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is pos...

    Text Solution

    |

  20. If A is a square matrix and A^2=A" then |A|=……..

    Text Solution

    |