Home
Class 12
MATHS
If the polynomial f(x)= |((1+x)^(a),(2+x...

If the polynomial `f(x)= |((1+x)^(a),(2+x)^(b),1),(1,(1+x)^(a),(2+x)^(b)),((2+x)^(b),1,(1+x)^(a))|`, then the constant term of f(x) is
[a and b are positive integers]

A

`2-3.2^(b) + 2^(3b)`

B

`2+ 3.2^(b) + 2^(3b)`

C

`2+ 3.2^(b)-2^(3b)`

D

`2-3.2^(b)-2^(3b)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

If f (x) =(x-1)/(x+1), then the value of f (2x) in terms of f(x) is-

(1)/(1+x^(a-b)+x^(a-c))+(1)/(1+x^(b-c)+x^(b-a))+(1)/(1+x^(c-a)+x^(c-b))

int_(a)^(b)(f(x)dx)/(f(x)+f(a+b-x))=(1)/(2)(b-a)

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is (a) -4 (b) -2 (c) -6 (d) 0

If f(x)=1-x+x^2-x^3+. . -x^(15)+x^(16)-x^(17) , then the coefficient of x^2 in f(x-1) is a. 826 b. 816 c. 822 d. none of these

If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,1+c^(2)x)| then f(x) is a polynomial of degree-

If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

If a_i, b_i in N for i 1,2,3, then coefficient of x in the determinant; |((1+x)^(a_1b_1),(1+x)^(a_1b_2),(1+x)^(a_1b_3)),((1+x)^(a_2b_1),(1+x)^(a_2b_2),(1+x)^(a_2b_3)), ((1+x)^(a_3b_1),(1+x)^(a_3b_2),(1+x)^(a_3b_3))|

If the quadratic polynomials defined on real coefficient P(x)=a_(1)x^(2)+2b_(1)x+c_(1) and Q(x)=a_(2)x^(2)+2b_(2)x+c_(2) take positive values AA x in R , what can we say for the trinomial g(x)=a_(1)a_(2)x^(2)+b_(1)b_(2)x+c_(1)c_(2) ?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  2. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

    Text Solution

    |

  3. Let vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- ...

    Text Solution

    |

  4. Let vec(alpha), vec(beta), vec(gamma) be three unit vectors such that ...

    Text Solution

    |

  5. Let z(1) and z(2) be complex numbers such that z(1) ne z(2) and |z(1)|...

    Text Solution

    |

  6. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  7. The least positive integer n such that (("cos"(pi)/(4),"sin"(pi)/(4)),...

    Text Solution

    |

  8. Let rho be a relation defined on 11, the set of natural numbers, as rh...

    Text Solution

    |

  9. If the polynomial f(x)= |((1+x)^(a),(2+x)^(b),1),(1,(1+x)^(a),(2+x)^(b...

    Text Solution

    |

  10. A line cuts the x-axis at A(5,0) and the y-axis at B(0, -3). A variabl...

    Text Solution

    |

  11. In a third order matrix A, a(ij) denotes the elements in the i-th row ...

    Text Solution

    |

  12. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |

  13. A hyperbola, having the transverse axis of length 2 sin theta is confo...

    Text Solution

    |

  14. Let f(x)= cos ((pi)/(x)), x ne 0 then assuming k as in integer

    Text Solution

    |

  15. Consider the functin y= log(a) (x + sqrt(x^(2) +1)). a gt 0, a ne 1. T...

    Text Solution

    |

  16. Let I= underset(0)overset(1)int (x^(3)cos 3x)/(2+x^(2))dx. Then

    Text Solution

    |

  17. A particle is in motion along a curve 12y= x^(3). The rate of change o...

    Text Solution

    |

  18. The area of the region lying above x-axis, and included between the ci...

    Text Solution

    |

  19. If the equation x^(2)-cx + d= 0 has roots equal to the fourth powers o...

    Text Solution

    |

  20. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |