Home
Class 12
MATHS
If a, b, c, d are real numbers such tha...

If `a, b, c, d` are real numbers such that `(3a + 2b)/(c+d)+3/2=0` then the equation `ax^3 + bx^2 + cx + d =0` has

A

At least one root in `[-2,0]`

B

At least one root in `[0,2]`

C

At least two root in [-2,2]

D

No root in [-2,2]

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

If a, b, c, d are real numbers such that (a+2c)/(b+3d)+(4)/(3)=0 . Prove that the equation ax^(3)+bx^(2)+cx+d=0 has atleast one real root in (0, 1).

Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. Then the equation ax^(2) + bx + c = 0 has

If a,b,c d in R such that (a+2c)/(b+3d) +4/3=0, then the equation ax ^(3) + bx^(3)+ cx+d =0 has

IF a,b,c are real distincr numbers such that a ^(3) +b ^(2) +c ^(3)= 3abc, then the quadratic equation ax ^(2) +bx +c =0 has

If (12a+5b)/(15)=-((c+d))/(4), then the equation ax^(4)+bx^(2)+cx+d=0 has

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

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

If a,b,c, are real number such that ac!=0 , then show that at least one of the equations ax^(2)+bx+c=0 and -ax^(2)+bx+c=0 has real roots.

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  2. f(x) =xe^(x(1-x)), then f(x) is

    Text Solution

    |

  3. Which of the following is correct ?

    Text Solution

    |

  4. Find the value of a , if the equation x-sinx=a has a unique r...

    Text Solution

    |

  5. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  6. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  7. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  8. Let f(x) = (x-p)^2+ (x -q)^2 + (x - r)^2. Then f(x) has a minimum at ...

    Text Solution

    |

  9. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  10. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  11. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  12. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

  13. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  14. The point (0,3) is nearest to the curve x^(2)=2y at

    Text Solution

    |

  15. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  16. If lambda, mu be real numbers such that x^3-lambda x^2 + mux-6=0 has i...

    Text Solution

    |

  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  18. If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 the...

    Text Solution

    |

  19. If the least area of triangle formed by tangent,normal at any point P ...

    Text Solution

    |

  20. Let f''(x) gt 0 AA x in R and let g(x)=f(x)+f(2-x) then interval of ...

    Text Solution

    |