Home
Class 12
MATHS
Number of integral values of b for which...

Number of integral values of `b` for which the equation `(x^3)/3-x=b` has three distinct solutions is____

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solutions.

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

Number of integral values of k for which the equation 4 cos^(-1)(-|x|)=k has exactly two solutions, is: (a) 4 (b) 5 (c) 6 (d) 7

Number of integral values of a for which the equation cos^2x-sinx+a=0 has roots when x in (0,pi/2) is____________

The number of integral values of k for which the equation 7 cos x + 5 sin x=2 k +1 has a solution is -

The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least one solution.

Find the values of a for which the equation ||x-2|+a|=4 can have four distinct real solutions.

The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is (a) three (b) two (c) infinitely many (d) zero

The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a. 3 b. 0 c. 1 d. 2

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The least integral value of x where f(x)=(log)(1/2)(x^2-2x-3) is monot...

    Text Solution

    |

  2. L e tf(x)={x+2 , x <-1 ; x^2 , -1 lt= x < 1 and (x-2)^2 , ...

    Text Solution

    |

  3. Number of integral values of b for which the equation (x^3)/3-x=b has ...

    Text Solution

    |

  4. Let f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1 Then the number of c...

    Text Solution

    |

  5. The number of nonzero integral values of a for which the function f(x)...

    Text Solution

    |

  6. Prove that the minimum value of ((a+x)(b+x))/((c+x))a ,b > c ,x > -c ...

    Text Solution

    |

  7. Let f(x)={|x^2-3x|+a ,0lt=x<3/2 -2x+3,xgeq3/2 If f(x) has a local ma...

    Text Solution

    |

  8. The largest term in the sequence an=(n^2)/(n^3+200) is given by (a)(...

    Text Solution

    |

  9. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a ha...

    Text Solution

    |

  10. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  11. Let f(x)=xsqrt(4a x-x^2),(a >0)dot Then f(x) is (a). increasing in (0,...

    Text Solution

    |

  12. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-p...

    Text Solution

    |

  13. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  14. On which of the following intervals is the function f given by f(x) = ...

    Text Solution

    |

  15. Let g(x)=2f(x/2)+f(2-x)a n df^('')(x)&lt;0AAx in (0,2)dot Then g(x) ...

    Text Solution

    |

  16. Let f: R->R be a differentiable function for all values of x and has...

    Text Solution

    |

  17. Which of the following statement is always true? (a)If f(x) is incre...

    Text Solution

    |

  18. The function f(x)=sum(k=1)^5 (x-K)^2 assumes then minimum value of x g...

    Text Solution

    |

  19. The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (...

    Text Solution

    |

  20. Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then a) f(x) is monotonically increasin...

    Text Solution

    |