Home
Class 12
MATHS
If (1 + ax + b x^2)^4 = a0 +a1 x + a2 x^...

If `(1 + ax + b x^2)^4 = a_0 +a_1 x + a_2 x^2 +...+a_8 x^8` when `a,b,a_0,a_1,a_2...,a_8 in R` such that `a_0+a_1+a_2 != 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 `5a/b` (A) 6 (B) 8 (C) 10 (D) 12

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

If (1 +x+x^2)^25 = a_0 + a_1x+ a_2x^2 +..... + a_50.x^50 then a_0 + a_2 + a_4 + ... + a_50 is :

If (1+x-2x^2)^6=1+a_1 x+a_2 x^2+a_2 x^3+......... , then the value of a_2+a_4+a_6+......+a_12 will be

If a_1,a_2,….a_n are in H.P then (a_1)/(a_2+,a_3,…,a_n),(a_2)/(a_1+a_3+….+a_n),…,(a_n)/(a_1+a_2+….+a_(n-1)) are in

If a_1, a_2, ,a_n >0, then prove that (a_1)/(a_2)+(a_2)/(a_3)+(a_3)/(a_4)++(a_(n-1))/(a_n)+(a_n)/(a_1)> n

Let a_1,a_2,a_3…., a_49 be in A.P . Such that Sigma_(k=0)^(12) a_(4k+1)=416 and a_9+a_(43)=66 .If a_1^2+a_2^2 +…+ a_(17) = 140 m then m is equal to

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

If the equation of the locus of a point equidistant from the points (a_1, b_1) and (a_2, b_2) is (a_1-a_2)x+(b_1-b_2)y+c=0 , then the value of c is

If (1+x-2x^2)^(20)=a_0+a_1x+a_2x^2+a_3x^3+...+a_(40)x^(40), then find the value of a_1+a_3+a_5+...+a_(39)dot

CENGAGE-DETERMINANTS-All Questions
  1. If varphi(alpha,beta)=|cosalpha-s inalpha1s inalphacosalpha1"cos"(alph...

    Text Solution

    |

  2. If the lines a x+y+1=0,x+b y+1=0a n dx+y+c=0(a ,b ,c being distinct...

    Text Solution

    |

  3. If (1 + ax + b x^2)^4 = a0 +a1 x + a2 x^2 +...+a8 x^8 when a,b,a0,a1,a...

    Text Solution

    |

  4. Find the value of lambda for which the homogeneous system of equations...

    Text Solution

    |

  5. If f,g,a n dh are differentiable functions of xa n d(x)=|fgh(xf)'(xg...

    Text Solution

    |

  6. If, a,b,c are positive and unequal,show that value of the determinant ...

    Text Solution

    |

  7. if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2)...

    Text Solution

    |

  8. Without expanding a determinant at any stage, show that ||x^2+x ,x+1 ,...

    Text Solution

    |

  9. Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^...

    Text Solution

    |

  10. Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...

    Text Solution

    |

  11. Show that |{:( 2bc-a^2 , c^2 ,b^2),(c^2 , 2ca-b^2 , a^2),(b^2 , a^2 , ...

    Text Solution

    |

  12. If y=|sinxcosxsinxcosx-sinxcosxx1 1|=fin d(dy)/(dx)dot

    Text Solution

    |

  13. Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=...

    Text Solution

    |

  14. Consider the system of linear equations in x , ya n dz : ""(sin3theta...

    Text Solution

    |

  15. Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...

    Text Solution

    |

  16. If alpha,beta "and" gamma are real number without expanding at any sta...

    Text Solution

    |

  17. If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...

    Text Solution

    |

  18. If a=costheta+isintheta,b=cos2theta-isin2theta,c=cos3theta+i sin3theta...

    Text Solution

    |

  19. Prove that |a1alpha1+b1beta1a1alpha2+b2beta2a1alpha3+b1beta3a2alpha1+b...

    Text Solution

    |

  20. If alpha,beta,gamma are the roots of p x^3+q x^2+r=0, then the value...

    Text Solution

    |