Home
Class 12
MATHS
for all x in R if mx^2-9mx+5m+1gt0 then ...

for all `x in R` if `mx^2-9mx+5m+1gt0` then m lies in the interval

A

`(-(4)/(61),0)`

B

`[0,(4)/(61),)`

C

`((4)/(61),(61)/(4))`

D

`(-(61)/(4),0)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

for all x in R if mx^(2)-9mx+5m+1>0 then m lies in the interval

If both the roots of equation x^(2)-mx+9=0 are greater than 2, then m lles in the interval

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

If both the roots of the quadratic equation x^(2) mx+4=0 are real and distinct and they lie in the interval [1,5] then m lies in the interval

Find the valuesof m for which exactly one root of the equation x^(2)-2mx+m^(2)-1=0 lies in the interval (-2,4)

If the x intercept of the line y=mx+2 is greater than (1)/(2) then the gradient of the line lies in the interval

find the set of value of m for which exactly one root of the equation x^(2)+mx+m^(2)+6m=0 lie in the interval (-2,0)

RESONANCE-DPP-QUESTION
  1. Find the number of integral values of 'a' for which ax^2 - (3a + 2)x +...

    Text Solution

    |

  2. Let X1, X2, x3 be 3 roots of the cubic x^3 – X-1 = 0. Then the exp...

    Text Solution

    |

  3. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

    Text Solution

    |

  4. If the difference between the corresponding roots of x^(2)+ax+b=0and x...

    Text Solution

    |

  5. The number of roots of the equation, x-(2)/(x-1) is

    Text Solution

    |

  6. If sin thetaand cos theta are the roots of the equation ax^(2)-bx+c=0,...

    Text Solution

    |

  7. Number of integral value (s) of 'x' satisfying the equation log(1/5)(s...

    Text Solution

    |

  8. The set (A uu B')uu(B nn C) is equal to

    Text Solution

    |

  9. The set (A uu B')uu(B nn C) is equal to

    Text Solution

    |

  10. If n(AuuBuuC)+n(AuuBuuC)'=50,n(A)=10,n(B)=15,n(C)=20,n(AnnB)=5,n(BnnC)...

    Text Solution

    |

  11. If A={2,3,4,8,10}.B={3,4,5,10,12},C={4,56,12,14}then(AnnB)uu(AnnC) is ...

    Text Solution

    |

  12. If A={1,3,5,7,9,11,13,15,17}, B={2,4,.......,18} and N the set of natu...

    Text Solution

    |

  13. Of the number of three athletic teams in a school, 21 are in the baske...

    Text Solution

    |

  14. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  15. The graph of the quadratic trinomial u=a x^2+b x+c has its vertex at (...

    Text Solution

    |

  16. If a, b, c are real numbers satisfying the condition a+b+c=0 then the ...

    Text Solution

    |

  17. The quadratic equation whose roots are sec^(2)alphaand "cosec"^(2)alph...

    Text Solution

    |

  18. If h(x)=log(10)x, then the value of sum(n=1)^(89) h"("tan^(Omega)")"=

    Text Solution

    |

  19. Let f(n)=prod(f=1)^(n) sin(r), where r is in radians, then

    Text Solution

    |

  20. If a, b in R and ax^2 + bx +6 = 0,a!= 0 does not have two distinct rea...

    Text Solution

    |