Home
Class 12
MATHS
The number of values of k for which the ...

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 three (b) two (c) infinitely many (d) zero

A

`-1`

B

1

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

The value of k so that the equation x^(3)-12x+k=0 has distinct roots in [0,2] is

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

Show that there is no real number p for which the equation x^2 -3x + p =0 has two distinct roots in [0,1]

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let f(x)=(x-3)^5 (x+1)^4 then

    Text Solution

    |

  2. The normal to the curve x=a ( cos theta-thetasintheta), y = a( sinthet...

    Text Solution

    |

  3. The number of values of k for which the equation x^3-3x+k=0 has two di...

    Text Solution

    |

  4. If the sum of the squares of the intercepts on the axes cut off by ...

    Text Solution

    |

  5. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  6. If the tangent at any point on the curve x^4 + y^4 = c^4 cuts off inte...

    Text Solution

    |

  7. The interval of increase of the function y= x-2 sin x " if " 0 le x le...

    Text Solution

    |

  8. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  9. Let f be a function defined by f(x) = 2x^(2) - log |x|, x ne 0 then

    Text Solution

    |

  10. The shortest distance of (0,0) from the curve y=(e^x+e^(-x))/2 is

    Text Solution

    |

  11. The normal to the circle x^(2) + y^(2) -2x -2y = 0 passing through (2,...

    Text Solution

    |

  12. If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...

    Text Solution

    |

  13. The value of k so that the equation x^3-12x+k=0 has distinct roots in ...

    Text Solution

    |

  14. Let f(x) = 6x^(4//3) - 3x^(1//3) defined on [-1,1] then

    Text Solution

    |

  15. An equation of tangent line at an inflection point of f(x) = x^(4) - 6...

    Text Solution

    |

  16. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

    Text Solution

    |

  17. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

    Text Solution

    |

  18. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

    Text Solution

    |

  19. The function f(x)=|x-1|/x^2 is

    Text Solution

    |

  20. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |