Home
Class 12
MATHS
The equation 2x ^(3) -3x ^(2) +p=0 has t...

The equation `2x ^(3) -3x ^(2) +p=0` has three real roots. Then find the minimum value of p.

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos
  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If the quadratic equation p x^2 - 2 sqrt(5) + 15 = 0 has two equal roots, then find value of p.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least positive value of a.

The equation 3x^(2)-12x+(n-5)=0 has equal roots. Find the value of n.

The equation 3x^(2)-12x+(n-5)=0 has repeated roots. Find the value of of n.

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .

Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if (4/a+1/b) is,

For -1<=p<=1 , the equation 4x^3-3x-p = 0 has 'n' distinct real roots equation in the interval [1/2,1] and one its root is cos(kcos^-1p) , then the value of n+1/k is :

VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  2. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  3. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  4. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  5. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

    Text Solution

    |

  6. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  7. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  8. If f (x) is an even function, then the number of distinect real number...

    Text Solution

    |

  9. The least integral value of m, m inR for which the range of function ...

    Text Solution

    |

  10. Let x(1), x (2), x(3) satisfying the equation x ^(3) - x^(2) + betax +...

    Text Solution

    |

  11. Let A={1,2,3,4}and B={0,1,2,3,4,5}. If 'm' is the number of strictly i...

    Text Solution

    |

  12. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

    Text Solution

    |

  13. Let f (x) = (ax+b)/(xc+d), where a,b,c d are non zero If f (7) =7,f (1...

    Text Solution

    |

  14. It is pouring down rain and the amount of rain hitting point (x,y) is ...

    Text Solution

    |

  15. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

    Text Solution

    |

  16. Let f (x) = x^(2)+10x+20. Find the number of real solution of the equa...

    Text Solution

    |

  17. If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(...

    Text Solution

    |

  18. Polynomial P(x) is divided by (x-3) , the remainder if 6.If P(x) is di...

    Text Solution

    |

  19. The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the...

    Text Solution

    |

  20. Find the number of integers in the domain of f (x) = (1)/(sqrt(ln cos ...

    Text Solution

    |