Home
Class 12
MATHS
If (1+ax+bx^(2))^(4)=a(0) +a(1)x+a(2)x^(...

If `(1+ax+bx^(2))^(4)=a_(0) +a_(1)x+a_(2)x^(2)+…..+a_(8)x^(8),` where `a,b,a_(0) ,a_(1)…….,a_(8) in R` such that `a_(0)+a_(1) +a_(2) ne 0` and
`|{:(a_(0),,a_(1),,a_(2)),(a_(1),,a_(2),,a_(0)),(a_(2),,a_(0),,a_(1)):}|=0` then the value of `5.(a)/(b) " is " "____"`

A

`a=(3)/(4),b=(5)/(8)`

B

`a=(1)/(4),b=(5)/(32)`

C

`a= 1,b=(2)/(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|18 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

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

Similar Questions

Explore conceptually related problems

If (1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40) . The value of a_(0) + a_(2) + a_(4) + …+ a_(38) is

If Delta=|{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}| then cofactor of a_23 represented as

if a_(1)b_(1)c_(1), a_(2)b_(2)c_(2)" and " a_(3)b_(3)c_(3) are three-digit even natural numbers and Delta = |{:(c_(1),,a_(1),,b_(1)),(c_(2),,a_(2),,b_(2)),(c_(3),,a_(3),,b_(3)):}|" then " Delta is

Let (1 + x^(2))^(2) (1 + x)^(n) = a_(0) + a_(1) x + a_(2) x^(2) + … if a_(0),a_(1) " and " a_(2) are in A.P , the value of n is

Delta=|(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33))| and A_(ij) is cofactor of a_(ij) then value of Delta is given by

lf (1 + x + x^2 + x^3)^5 = a_0+a_1x +a_2x^2+.....+a_(15)x^15 , then a_(10) equals to

If |a_(1)|gt|a_(2)|+|a_(3)|,|b_(2)|gt|b_(1)|+|b_(3)| and |c_(2)|gt|c_(1)|+|c_(2)| then show that |{:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):}|ne0.

If a_(1),a_(2),a_(3),a_(4),a_(5) are in HP, then a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+a_(4)a_(5) is equal to

if a_(1),a_(2),…….a_(n),……. form a G.P. and a_(1) gt 0 , for all I ge 1 |{:(log a_(n),,loga_(n+1),,log a_(n+2)),(log a_(n+3),,log a_(n+4),,log a_(n+5)),(log a_(n+6),,loga_(n+7),,log a_(n+8)):}|

ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
  1. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

    Text Solution

    |

  2. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

    Text Solution

    |

  3. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  4. if a(1)b(1)c(1), a(2)b(2)c(2)" and " a(3)b(3)c(3) are three-digit ev...

    Text Solution

    |

  5. Expand | (4,8),(6,7)|

    Text Solution

    |

  6. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

    Text Solution

    |

  7. If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...

    Text Solution

    |

  8. The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-be...

    Text Solution

    |

  9. If f(x),g(x)andh(x) are three polynomials of degree 2 , then prove tha...

    Text Solution

    |

  10. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

    Text Solution

    |

  11. if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...

    Text Solution

    |

  12. Let a ,b , c in R such that no two of them are equal and satisfy |{:(...

    Text Solution

    |

  13. What is 10% Equals to

    Text Solution

    |

  14. If f(x)=ax^(2)+bx+c,a,b,c in R and eqation f(x)-x=0 has imaginary roo...

    Text Solution

    |

  15. If the system of equtions 2x-y+z=0,x-2y+z=0, tx-y+2z=0 has infinitel...

    Text Solution

    |

  16. If (1+ax+bx^(2))^(4)=a(0) +a(1)x+a(2)x^(2)+…..+a(8)x^(8), where a,b,a(...

    Text Solution

    |

  17. Given f(x) =log(10) x and g(x) = e^(piix) . phi (x) =|{:(f(x).g(x),(...

    Text Solution

    |

  18. The value of the determinant |(1,(alpha^(2x)-alpha^(-2x))^2,(alpha^(2...

    Text Solution

    |

  19. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  20. the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta...

    Text Solution

    |