Home
Class 12
MATHS
If a is an integer lying in [-5,30], the...

If `a` is an integer lying in `[-5,30]`, then the probability that the graph of `y=x^2+2(a+4)x-5a+64` is strictly above the x-axis is

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

Find the value of P such that the vertex of y=x^2+2p x+13 is 4 units above the x-axis.

The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x-axis if and only if

Draw the graph of y=(x^(2)-x^(5))(x-2)^(3) .

In how many points graph of y=x^3-3x^2+5x-3 intersect the x-axis?

Find the area bounded by the curves x^2+y^2=25 ,4y=|4-x^2|, and x=0 above the x-axis.

The area enclosed between the curve y^(2)(2a-x)=x^(3) and the line x=2 above the x-axis is

Draw the graph of y=0.5(x-1)^(2) and compare with y=(x-1)^(2) .

From the graph of y=x^(2)-4 , draw the graph of y=(1)/(x^(2)-4) .

If 2 le |x| le 5 , then find the values of x from the graph of y = |x| .

Draw the graph of f(x)=(5x^(2))/((x-1)^(3)) .

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Statement 1: If P(A)=0. 25 ,P(B)=0. 50 ,a n dP(AnnB)=0. 14 , then the ...

    Text Solution

    |

  2. 2n boys are randomly divided into two subgroups containing n bo...

    Text Solution

    |

  3. If a is an integer lying in [-5,30], then the probability that the gra...

    Text Solution

    |

  4. In a game called odd man out m(m >2) persons toss a coin to determine ...

    Text Solution

    |

  5. Two players toss 4 coins each. The probability that they both obtain t...

    Text Solution

    |

  6. A father has 3 children with at least one boy. The probability that he...

    Text Solution

    |

  7. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

    Text Solution

    |

  8. A and B toss a fair coin each simultaneously 50 times. The probability...

    Text Solution

    |

  9. Let Aa n dB be two events such that P(AnnB^(prime))=0. 20 ,P(A^(prime)...

    Text Solution

    |

  10. A 2n digit number starts with 2 and all its digits are prime, then the...

    Text Solution

    |

  11. The numbers (a ,b ,c) are selected by throwing a dice thrice, then the...

    Text Solution

    |

  12. In a n- sided regular polygon, the probability that the two diagonal c...

    Text Solution

    |

  13. A three-digit number is selected at random from the set of all thre...

    Text Solution

    |

  14. Words from the letters of the word PROBABILITY are formed by taking al...

    Text Solution

    |

  15. The probability of winning a race by three persons A ,B , and C are 1/...

    Text Solution

    |

  16. A die is rolled 4 times. The probability of getting a larger number ...

    Text Solution

    |

  17. A die is thrown three times, find the probability that 4 appears on th...

    Text Solution

    |

  18. In a test an examine either guesses or copies or knows the answer to a...

    Text Solution

    |

  19. find the projection of the vector vec a=2hat i+3 hat j+2 hat k, on the...

    Text Solution

    |

  20. Numberse are selected at random, one at a time, from the two-digit num...

    Text Solution

    |