Home
Class 11
MATHS
For all 'x', x^2+2ax+(10-3a)gt0, then th...

For all 'x', `x^2+2ax+(10-3a)gt0`, then the interval .In which 'a' lies is

A

`alt-5`

B

`-5ltalt2`

C

`agt-5`

D

`2ltalt5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in which y lies.

Find the interval in which , cos^-1 x gt sin^-1 x .

If 3^(x+2)-9^(-1//x)gt0 , then the interval of x can be

If theta in (-pi, 2 pi) then the interval in which cos theta gt0 is

If f''(x)gt0 and f'(1)=0 such that g(x)=f(cot^2x+2cotx+2) , where 0ltxltpi then the interval in which g(x) is decreasing is :

1/(2x-1)gt0, x in R

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is increasing

The largest interval for which x^12-x^9+x^4-x+1gt0 is

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is decreasing

Lel f(x)=x^3+6x^2+ax+2 lf the largest possible interval in which f(x) is a decreasing function is (-3-1) then the value of a most be

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. In what interval 'm' must lie so that the root of the equation x^2-2mx...

    Text Solution

    |

  2. The necessary and sufficient condition for the equation (1-a^2)x^2+2ax...

    Text Solution

    |

  3. For all 'x', x^2+2ax+(10-3a)gt0, then the interval .In which 'a' lies ...

    Text Solution

    |

  4. The maximum value of 2-3x-4x^2

    Text Solution

    |

  5. Number of solution of equation sin^(-1)x+cos^(-1)(x^2)=pi/2

    Text Solution

    |

  6. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  7. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  8. x.[x],{x} are in G.P. then x equals

    Text Solution

    |

  9. The roots of the equation x^sqrtx=sqrt(x^x) are

    Text Solution

    |

  10. The number of real solution of the equation e^x=x is

    Text Solution

    |

  11. Let f(x) =x^2+bx+c, where b,c inR. If f(x) is a factor of both x^4+6x^...

    Text Solution

    |

  12. Find the remainder when the polynomial is divided by (x-1)(x-2), if it...

    Text Solution

    |

  13. If f(x)=x-[x],x(phi0)inR, where [x] is greatest integer less than or e...

    Text Solution

    |

  14. The inequation 3^72(1/3)^x(1/3)^sqrtxgt1 for all x belongs to

    Text Solution

    |

  15. If f(x) =x^2+2bx+2c^2, g(x)=-x^2-2cx+b^2, such that min f(x)gytmaxg(x)...

    Text Solution

    |

  16. Let f(x)=ax^2+bx+c,b,cinR,aphi0, satisfying f(1)+f(2) <brge0.then the ...

    Text Solution

    |

  17. The value of alpha, for which the equation x^2-(sinalpha-2)x-(1+sinalp...

    Text Solution

    |

  18. The equation abs(x+1) abs(x-1)=a^2-2a-3 can have real solutions for x ...

    Text Solution

    |

  19. Solution set of x satisfying x^2-abs(x+2)+xgt0 is

    Text Solution

    |

  20. Let a,b,c be the sides fo a triangle where anebnec and lamdainR,if roo...

    Text Solution

    |