Home
Class 12
MATHS
For all real values of a(0),a(1),a(2),a(...

For all real values of `a_(0),a_(1),a_(2),a_(3)` satisfying `a_(0)+(a_(1))/(2)+(a_(2))/(3)+(a_(3))/(4)=0` then equation `a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)=0` has a real root in the interval

A

[0,1]

B

[-1,0]

C

[1,2]

D

[-2,-1]

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

For all real values a_(0),a_(1),a_(2),a_(3) of satisfying a_(0)+(a_(1))/(2)+(a_(2))/(3)+(a_(3))/(4)=0 , the equation a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)=0 has a real root in the interval

If a_(1), a_(2), a_(3), …., a_(n) are in H.P., prove that, a_(1)a_(2) + a_(2)a_(3) + a_(3)a_(4) +…+ a_(n-1)a_(n) = (n-1)a_(1)a_(n)

a_(1), a_(2),a_(3) in R - {0} and a_(1)+ a_(2)cos2x+ a_(3)sin^(2)x=0 " for all " x in R then

Let (1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+.....+a_(18)x^(18) . Then

If a_(1), a_(2), a_(3),…, a_(n) be in A.P. Show that, (1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) +….+(1)/(a_(n-1)a_(n)) = (n-1)/(a_(1)a_(n))

Let (1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(18)x^(18) . Then

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

If a_(1), a_(2), a_(3),…, a_(40) are in A.P. and a_(1) + a_(5) + a_(15) + a_(26) + a_(36) + a_(40) = 105 then sum of the A.P. series is-

If (x^(2)+x+1)/(1-x) = a_(0) + a_(1)x+a_(2)x^(2)+"…." , then sum_(r=1)^(50) a_(r) equal to

If a_(1), a_(2), a_(3),…, a_(2k) are in A.P., prove that a_(1)^(2) - a_(2)^(2) + a_(3)^(2) - a_(4)^(2) +…+a_(2k-1)^(2) - a_(2k)^(2) = (k)/(2k-1)(a_(1)^(2) - a_(2k)^(2)) .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. If log(0.2)(x-1)gtlog(0.04)(x+5) then

    Text Solution

    |

  2. The number of real roots of equation log(e)x+ex=0

    Text Solution

    |

  3. For all real values of a(0),a(1),a(2),a(3) satisfying a(0)+(a(1))/(2)+...

    Text Solution

    |

  4. Let f:RtoR be defined as f(x)={{:(0","," is irrational"),(sin|x|","," ...

    Text Solution

    |

  5. If the vertex of the conic y^(2)-4y=4x-4a always lies between the stra...

    Text Solution

    |

  6. Number of intersecting points of the conic 4x^(2)+9y^(2)=1 and 4x^(2)+...

    Text Solution

    |

  7. The value of lamda for which the straight line (x-lamda)/(3)=(y-1)/(2+...

    Text Solution

    |

  8. if f:[0,pi//)toR is defined as f(theta)=|(theta,tantheta,1),(-tantheta...

    Text Solution

    |

  9. If A and B are two matrices such that AB=B and BA=A then A^(2)+B^(2) e...

    Text Solution

    |

  10. If omega is an imaginary cube root of unity, then the value of the det...

    Text Solution

    |

  11. The value of 2cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is

    Text Solution

    |

  12. If the point (2costheta,2sintheta), for thetain(0,2pi) lies in the reg...

    Text Solution

    |

  13. Number of points having distance sqrt5 from the straight line x-2y+1=0...

    Text Solution

    |

  14. Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...

    Text Solution

    |

  15. If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...

    Text Solution

    |

  16. Number of irrational terms in the binomial expansion of (3^(1//5)+7^(1...

    Text Solution

    |

  17. The quadratic expression (2x+1)^(2)-px+qne0 for any real x is

    Text Solution

    |

  18. Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range ...

    Text Solution

    |

  19. The least value of 2x^(2)+y^(2)+2xy+2x-3y+8 for real numbers x and y i...

    Text Solution

    |

  20. Let f:[-2,2]toR be a continuous function such that f(x) assumes only i...

    Text Solution

    |