Home
Class 12
MATHS
If the coefficients of x^3 and x^4 in th...

If the coefficients of `x^3` and `x^4` in the expansion of `(1""+a x+b x^2)""(1-2x)^(18)` in powers of x are both zero, then (a, b) is equal to (1) `(16 ,(251)/3)` (3) `(14 ,(251)/3)` (2) `(14 ,(272)/3)` (4) `(16 ,(272)/3)`

A

`(16 , (251)/(3))`

B

`(14 , (251)/(3))`

C

`(14 , (272)/(3))`

D

`(16, (272)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2017

    BITSAT GUIDE|Exercise PART (IV) Mathematics)|45 Videos

  • SOLVED PAPER 2018

    BITSAT GUIDE|Exercise Mathematics (Part-IV)|45 Videos

Similar Questions

Explore conceptually related problems

the coefficients of x^(3) and x^(4) in the expansion of (1+ax+bx^(2))(1-2x)^(18)

If the coefficient x^(2) and x^(3) in the expansion of (1 + 8x + bx^(2))(1 - 3x)^(9) in the power of x are equal , then b is :

Find the coefficients of x^4 in the expansion of (1+x+x^2)^3

Find the coefficient of x in the expansion of (1 - 3x + 7x^(2)) (1 - x)^(16) .

The coefficient of x^(4) in the expansion of (1+2x+3x^(2))/((1-x)^(2)) is-

If the coefficients of x^(-2) and x^(-4) the expansion of (x^((1)/(3))+(1)/(2x^((1)/(3))))^(18), are m and n respectively,then (m)/(n) is equal to

Find the coefficient of x^(3) in the expansion of (x^(2)+(1)/(3x^(3)))^(4)

Find the coefficient of : x in the expansion of (1-3x+7x^(2))(1-x)^(16)

BITSAT GUIDE-SOLVED PAPER 2019 BITSAT-PART -IV ( Mathematics )
  1. If f and g are differentiable function in [0, 1] satisfying f (0) = 2 ...

    Text Solution

    |

  2. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

    Text Solution

    |

  3. If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x...

    Text Solution

    |

  4. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  5. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  6. The number of real number lambda for which the equality (sin(lamdaa...

    Text Solution

    |

  7. Suppose a parabola y=ax^(2)+bx +c has two x intercepts, one negative...

    Text Solution

    |

  8. The larger of two angles made with the X-axis of a straight line drawn...

    Text Solution

    |

  9. The point ([P + 1], [P]) (where, [x] is the greatest integer function)...

    Text Solution

    |

  10. Solution of the equation (dy)/(dx) = e^(x-y) (e^(x)-e^(y)) is equal t...

    Text Solution

    |

  11. The area bounded by two branches of the curve (y-x)^2= x^3 and x = 1 e...

    Text Solution

    |

  12. The least value of the function f(x) = int(0)^(x) ( 3 sinx + 4 cos x )...

    Text Solution

    |

  13. If z(1) and overline(z)(1) represent adjacent vertices of a regular po...

    Text Solution

    |

  14. In the expansion of (1+x+x^3+x^4), the coefficient of x^4 is ^40 C4 b....

    Text Solution

    |

  15. A person writes letters to six friends and addresses the corresponding...

    Text Solution

    |

  16. If x=log(5)3+log(7)5+log(9)7,then x is ge?

    Text Solution

    |

  17. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |

  18. Let a,b,c in R and the system of equations (1-a)x+y+z=0,x+(1-b)y+z=0,x...

    Text Solution

    |

  19. If A is a 3xx3 non-singular matrix such that "AA"'=A'A and B=A^(-1)A',...

    Text Solution

    |

  20. If sin^(-1)x + tan ^(-1) x = (pi)/(2), then prove that 2x^(2) + 1 =...

    Text Solution

    |