Home
Class 12
MATHS
The set of values of p for which the equ...

The set of values of p for which the equation `|lnx| -px =0` possess three distinct roots is (A) `(0,1/e)` (B) `(0,1)` (C) `(1,e)` (D) `(0,e)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

The set of values of p for which the equation |ln x|-px=0 possess three distinct roots is

The set of values of p for which the equation |ln x|-px=0 possess three distinct roots is (A) (0,(1)/(e))(B)(0,1)(C)(1,e)(D)(0,e)

The set of values of p in R for which the equation x^2 +px+ 1/4 (p+2)= 0 will have real roots is

The value of p for which the quadratic equation 2px^(2) + 6x + 5 = 0 has real and distinct roots is

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

If the equation a x^2+2x+a=0 has two distinct roots, if a=+-1 (b) a=0 (c) a=0,\ 1 (d) a=-1,\ 0

Set of all value of 'a for which the equation (a+1)x^(2)+2bax+(a+1)b=0 has real and distinct roots for all b in R is

The number of real root of the equation e^(x-1)+x-2=0 , is

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

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. In which one of the following intervals Rolles theorem hold(s) good...

    Text Solution

    |

  2. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  3. The set of values of p for which the equation |lnx| -px =0 possess thr...

    Text Solution

    |

  4. If f(x)=1+x+int1^x(ln^2t+2lnt) dt then f(x) increases in

    Text Solution

    |

  5. Let f(x)={{:(x^(alpha)sin\ (1/x)sinpix\ \ \ ;\ \ x\ !=0),( 0\ \ \ \...

    Text Solution

    |

  6. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  7. Let f(x)=ln(2+x)-(2x+2)/x Statement-1: The equation f(x)=0 has ...

    Text Solution

    |

  8. Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Stat...

    Text Solution

    |

  9. Consider the polynomial function f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^...

    Text Solution

    |

  10. A function y=\ f(x) is defined on [0,4] as f(x)={2x\ \ \ \ if\ 0...

    Text Solution

    |

  11. The function f(x)=(ln(pi+x))/(ln(e+x)) is increasing in (0,oo) decrea...

    Text Solution

    |

  12. Statement-1: The function f(x)\ =\ ln\ x is increasing in (0,10)...

    Text Solution

    |

  13. Statement-1: Suppose f(x)=2^x+1a n d\ g\ (x)=4^(-x)+2^(-x) . The...

    Text Solution

    |

  14. Consider function f(x)={x{x}+1,\ \ \ \ \ \ \ \ \ \ \ \ 0lt=x<1 2-{...

    Text Solution

    |

  15. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c), v=sqrt(c) -sqrt(c-1...

    Text Solution

    |

  16. The function f(x)= int0^x sqrt(1-t^4)dt is such that: (A) t is defi...

    Text Solution

    |

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

    Text Solution

    |

  18. Let f(x)=1+\ x\ ln\ (x+\ sqrt((x^2)+1))-\ sqrt((1)+x^2)a n d\ h(x)=f...

    Text Solution

    |

  19. Let f(x)=a(x-x1)(x-x2)\ w h e r e\ a ,\ x1a n d\ x2\ are real n...

    Text Solution

    |

  20. Let f be a continuous function on R and satisfies f(x)=e^x + int0^1 e^...

    Text Solution

    |