Home
Class 12
MATHS
If an integer p is chosen at random in t...

If an integer p is chosen at random in the interval `0 le p le 5`, the probability that the roots of the equation `x^(2) +px+(p)/(4)+(1)/(2) = 0` are real , is

A

`1//5`

B

`2//5`

C

`2//3`

D

`4//5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1B|62 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1C|142 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

Similar Questions

Explore conceptually related problems

The probability that the roots of the equation x^(2)+nx+(1)/(2) +(n)/(2) = 0 are real, where n in N such that n le5 , is

If p and q are chosen randomly from the set {1, 2, 3, 4, 5} with replacement. Find the probability that the roots of the equation x^(2) + px + q = 0 are equal.

If tan alpha , tan beta are the roots of the equation x^(2) + px+q=0(p ne 0) then

If p and q are chosen randomly from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} with replacement. Find the probability that the roots of the equation x^(2) + px + q = 0 are real.

If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, then (p , q) =

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in G.P p^3 r= q^3

DIPTI PUBLICATION ( AP EAMET)-PROBABILITY-EXERCISE-1A
  1. If a number x is selected from natural numbers 1 to 100, then the prob...

    Text Solution

    |

  2. The probability that the roots of the equation x^(2)+nx+(1)/(2) +(n)/(...

    Text Solution

    |

  3. If an integer p is chosen at random in the interval 0 le p le 5, the p...

    Text Solution

    |

  4. The probability of choosing randomly a number c from the set (1,2,3,…....

    Text Solution

    |

  5. In a room, there are 6 couples .Out of them if 4 are chosen at random ...

    Text Solution

    |

  6. A team of 8 couples (husband and wife) attend a lucky draw in which 4...

    Text Solution

    |

  7. There are 20 pairs of shoes in a closet. Four shoes are selected at ra...

    Text Solution

    |

  8. If 5 biscuits are distributed among 3 beggers, the chance that a parti...

    Text Solution

    |

  9. If 10 sweets are to be distributed among 6 children, the probability t...

    Text Solution

    |

  10. If 10 balls are to be distributed among 4 boxes, then the probability ...

    Text Solution

    |

  11. The probability that when 12 balls are distributed among three boxes, ...

    Text Solution

    |

  12. A contest consists of predicting the result (win, draw and loss) 5 foo...

    Text Solution

    |

  13. A letter lock contains 4 rings, each ring containing 5 letters. All po...

    Text Solution

    |

  14. There are 5 letters and 5 addressed envelopes. If the letters are put ...

    Text Solution

    |

  15. There are 5 letters and 5 addressed envelopes. If the letters are put ...

    Text Solution

    |

  16. If four squares are chosen at random on a chess board, then the probab...

    Text Solution

    |

  17. If four squares are chosen at random on a chess board, then the probab...

    Text Solution

    |

  18. If 7 squares are chosen at random on a chess board, the probability th...

    Text Solution

    |

  19. Two squares of a chess board are chosen at random, the probability tha...

    Text Solution

    |

  20. Three squares of a chess board are chosen at random, the probability t...

    Text Solution

    |