Home
Class 11
MATHS
In what interval 'm' must lie so that th...

In what interval 'm' must lie so that the root of the equation `x^2-2mx+m^2-1 =0` lie between -2 and 4 ?

A

(0,1)

B

`(-infty,infty)`

C

(-1,3)

D

[-1,3]

Text Solution

Verified by Experts

The correct Answer is:
C
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

For what value of 'm' inR , both roots of the equation x^2-6mx+9m^2-2m+2 =0 exceed 3?

One root of the equation cosx-x+1/2=0 lies in the interval

The roots of the equation x^(4)-2x^(2)+4=0 are the vertices of a :

All the values of m for whilch both the roots of the equation x^2-2m x+m^2-1=0 are greater than -2 but less than 4 lie in the interval A -2 B. m >3 C. -1ltmlt3 D. 1ltmlt4

For what value of m the roots of the equation x^2-2(5+2m)x+3(7+10m)=0 are equal

Find m, given that the difference of the roots of the equation 2x^2-12x+m+2=0 is 2.

For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 are equal?

Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9 =0

The product of the roots of the equationn 3x^2+mx-(2m+3)=0 is 5, find m.

Find the condition so that the roots of the equation lx^2+mx+n=0 are reciprocal to one another

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  2. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  3. In what interval 'm' must lie so that the root of the equation x^2-2mx...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |