Home
Class 12
MATHS
If 2a+3b+6c=0 " "(a, b, c in R), then ...

If `2a+3b+6c=0 " "(a, b, c in R)`, then the quadratic equation `ax^(2)+bx+c=0` has at least one root -

A

in (0, 1)

B

in (2, 3)

C

in (4, 5)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If 2a+3b+6c=0 (a,b,cinR) , then the quadratic equation ax^2+bx+c =0 has

If a,b,c in R and a+b+c=0, then the quadratic equation 3ax^2+2bx+c=0 has (a) at least one root in [0, 1] (b) at least one root in [1,2] (c) at least one root in [3/2, 2] (d) none of these

If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then ax+by+c=0 represents

Find the condition for which the quadratic equation ax^2+bx+c=0 has exactly one zero root.

If a ,b ,c , are in A.P then the roots of the equation ax^(2)-2bx+c=0

If one of the root of the quadratic equation ax^2+bx+c=0,(a!=0) be zero then

If 27a+9b+3c+d=0 , then the equation 4ax^3+3bx^2+2cx+d=0 has at least one real root lying between

If a,b,c in R : a ne 0 and the quadratic equation ax^2+bx+c =0 has no real root, then show that (a+b+c)c gt 0

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 2
  1. Let f(x)=x|x|. Then the set of points where f(x) is twice differentiab...

    Text Solution

    |

  2. If x=sin^(-1) t, y=log(1-t^(2)), 0 le t lt 1, then the value of (d^(2...

    Text Solution

    |

  3. If 2a+3b+6c=0 " "(a, b, c in R), then the quadratic equation ax^(2)...

    Text Solution

    |

  4. If y=(x+sqrt(1+x^(2)))^(n), then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(d...

    Text Solution

    |

  5. If sin y+e^(-x cos y)=e, then the value of (dy)/(dx) at (1, pi) is -

    Text Solution

    |

  6. If x=2 cos t+cos 2t and y=2 sin t-sin2t, then the value of (dy)/(dx) a...

    Text Solution

    |

  7. The value of lim(x to oo) (sqrt(x^(2)+ax)-x) is -

    Text Solution

    |

  8. If logx=z, then the value of x^(2)(d^(2)y)/(dx^(2)) is -

    Text Solution

    |

  9. The value of int e^(sqrt(x)) dx is -

    Text Solution

    |

  10. If int x sin x dx = - x cosx +m, then the value of m is -

    Text Solution

    |

  11. The value of int (a^(sqrt(x)))/(sqrt(x))dx is -

    Text Solution

    |

  12. The value of int (e^(tan^(-1)x)dx)/(1+x^(2)) is -

    Text Solution

    |

  13. The value of int(0)^((pi)/(2))(dx)/(1+cotx ) is -

    Text Solution

    |

  14. If I(1)=int(e )^(e^(2)) (dx)/(log x) and I(2)= int(1)^(2)(e^(x))/(x)...

    Text Solution

    |

  15. If I(n)=int(0)^((pi)/(4))tan^(n)thetad theta, for any positive intege...

    Text Solution

    |

  16. The value of int(1)^(2)[x^(2)]dx is -

    Text Solution

    |

  17. The value of int(-pi)^(pi) (2x(1+sinx))/(1+cos^(2)x)dx is equal to -

    Text Solution

    |

  18. The value of int(dx)/(sinx-cosx+sqrt(2)) is -

    Text Solution

    |

  19. The value of int(0)^(pi) e^(sin^(2)x) cos^(3)x dx is equal to -

    Text Solution

    |

  20. Let I=int(-2)^(2)(x-[x])dx where [x] represents the greatest integer i...

    Text Solution

    |