Home
Class 12
MATHS
Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B ...

Let `|(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot` Then the value of `5A+4B+3C+2D+E` is equal to a. zero b. `-16` c. `11` d. `-11`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

Let |[x,2,x],[x^2,x,6],[x,x,6]|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3c+2d+e is equal (a)0 (b) -16 (c) 16 (d) none of these

Let |x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3c+2d+e is equal 0 (b) -16 (c) 16 (d) none of these

If 5:4 :: 30 : x , then the value of x is (a) 24 (b) 12 (c) 3/2 (d) 6

Let x=[(2, 1),(0, 3)] be a matrix. If X^(6)=[(a, b),(c,d)] , then the number of divisors of (a+b+2020c+d) is equal to

If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) 0 (b) 2 (c) 1 (d) 3

If (2x^(3)+1)/((x-1)(x+1)(x+2))=A+(B)/(x-1)+(C)/(x+1)+(D)/(x+2) , then find the value of A+B+C+D .

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider P (x) =x ^(6)-x ^(5) -x ^(3) -x ^(2) -x, then the value of p (a) +p(b) +p(c ) +p(d) is equal to :

The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 b. 1 c. 0 d. 4

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

    Text Solution

    |

  2. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

    Text Solution

    |

  3. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

    Text Solution

    |

  4. If the determinant |b-cc-a a-bb^(prime)-c ' c^(prime)-a ' a^(prime)-b ...

    Text Solution

    |

  5. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |

  6. The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...

    Text Solution

    |

  7. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

    Text Solution

    |

  8. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

    Text Solution

    |

  9. Prove that: cos(A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(-A+B+C)=4cos A\ cos B...

    Text Solution

    |

  10. Let lambdaa n dalpha be real. Find the set of all values of lambda for...

    Text Solution

    |

  11. Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b...

    Text Solution

    |

  12. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

    Text Solution

    |

  13. If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...

    Text Solution

    |

  14. If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],...

    Text Solution

    |

  15. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

    Text Solution

    |

  16. If 2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^...

    Text Solution

    |

  17. Find the value of lambda for which |{:(2a1+b1 , 2a2+b2 , 2a3+b3),(2b1+...

    Text Solution

    |

  18. Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c...

    Text Solution

    |

  19. if a determinant of order 3xx 3 is formed by using the numbers 1 ...

    Text Solution

    |

  20. If z=|[-5, 3+4i,5-7i],[3-4i,6 ,8+7i],[5+7i,8-7i,9]|,t h e nz is (a) p...

    Text Solution

    |