Home
Class 12
MATHS
If a fair die is thrown two times and al...

If a fair die is thrown two times and `alpha , beta ` are numbers on it then probability of `x^2+alpha x +beta gt 0` is

A

`1/2`

B

`14/36`

C

`4/9`

D

`17/36`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^2=x+1 then alpha^2/beta-beta^2/alpha=

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are

If alpha,beta are the roots of x^(2)+x+1=0 ,then (alpha)/(beta)+(beta)/(alpha)=

If the equation x^(2) + kx+ 1 = 0 " has the roots "alpha and beta , then what is the value of (alpha + beta) xx ( alpha^(-1) +beta ^(-1))

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are.-

If alpha,beta are the roots of 2x^(2)+x+7=0 find the value of alpha^(2)beta+alpha beta^(2)

If alpha,beta, are roots of the equation x^(2)+sqrt(x)alpha+beta=0,beta beta then values of alpha and beta are 1. alpha=1 and beta=12 .alpha=1 and beta=-2 3.alpha=2 and beta=1alpha=2 and beta=-2

Find the values of the parameter a such that the rots alpha,beta of the equation 2x^(2)+6x+a=0 satisfy the inequality alpha/ beta+beta/ alpha<2

Let alpha and beta (a lt beta) " be the roots of the equation " x^(2) + bx + c = 0," where " b gt 0 and c lt 0 . Consider the following : 1. alpha + beta + alpha beta gt 0 2. alpha^(2) beta + beta ^(2) alpha gt 0 Which of the above is//are correct ?

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Given curve C1=x^2+(y-1)^2=1, then locus of centre of circle which tou...

    Text Solution

    |

  2. Which of the following is tautology ?

    Text Solution

    |

  3. If a fair die is thrown two times and alpha , beta are numbers on it ...

    Text Solution

    |

  4. Let f:{1,2,3,4} to {1,2,3,4,5,6} , then number of functions for which ...

    Text Solution

    |

  5. If lim(x to oo) sqrt(x^2-x-1)+alpha x + beta=0, then abs(8(alpha+beta)...

    Text Solution

    |

  6. The remainder of (2024)^(2024) when divided by 7 is

    Text Solution

    |

  7. For any real number x, let [x] denote the largest integer less than or...

    Text Solution

    |

  8. Find the area bounded by the region A={(x,y):x^2 le y le min (x+2,4-3x...

    Text Solution

    |

  9. Let x^(**)y=x^2+y^3 and (x^(**)1)^(**)1=x^(**)(1^(**)1).then a value o...

    Text Solution

    |

  10. The general solution of (x-y^2)dx+y(5x+y^2)dy=0 is

    Text Solution

    |

  11. The number of bijective function f(1,3,5,7, . . .,99) to (2,4,6,8,. . ...

    Text Solution

    |

  12. The value of 2 sin (pi/22) sin ((3pi)/22) sin ((5pi)/22) sin ((7pi)/22...

    Text Solution

    |

  13. The remainder when (11)^1011 + (1011)^11 is divided by 9 is

    Text Solution

    |

  14. lim(x to pi/4) (8 sqrt2-8(sinx+cosx))/(sqrt2-sqrt2 sin2x) is equal to

    Text Solution

    |

  15. Area enclosed by the curve y^2+x^4=x^2 is

    Text Solution

    |

  16. If P(A)=1/3 , P(B)=1/5 and P(A uu B)=1/2 then P(A//B')+P(A'//B)=

    Text Solution

    |

  17. Let f(x) =[x^2-2x]+abs(5x-7) , and let m be minimum value of f(x) and ...

    Text Solution

    |

  18. If the equation x^3+px^2+qx+1=0(p < q) has only one real root alpha th...

    Text Solution

    |

  19. Statement p to Ramu is innocent q toRamu is not honest r to Ramu i...

    Text Solution

    |

  20. If A =[(1,a,a),(0,1,b),(0,0,1)] and A^n=[(1,48,2064),(0,1,96),(0,0,1)]...

    Text Solution

    |