Home
Class 12
MATHS
If both roots of the equation x^(2)-2 a ...

If both roots of the equation `x^(2)-2 a x+a^(2)-1= 0` lie between -2 and 2, then [a] can be

A

a)`-1,0`

B

b)0,1

C

c)1,2

D

d) `-1,2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

Roots of the equation x^(2) -2x+ 1 =0 are :

Roots of equation x^(2)-2x+1=0 are:

Find the roots of the equation 2x^(2) + 10 x + 20 =0

The roots of the equation 12 x^2 + x - 1 = 0 is :

The roots of the equation |x^(2)-x-6|=x+2 are

All the values of m for which both roots of the equation x^(2)-2 m x+(m^(2)-1)=0 are greater than -2 but less than 4 lie in the interval

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

If the roots of the equation x^(2)-lx+m=0 differ by 1, then

The roots of the quadratic equations x^(2) - 5x -6=0 are

If both the roots of the quadratic equation x^(2)-2 k x+(k^(2)+k-5)=0 are less than 5, then k lies in the interval

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If x^(2)-p x+q=0 has equal integral roots, then

    Text Solution

    |

  2. Find the condition that quadratic equations x^(2)+ax+b=0 and x^(2)+bx+...

    Text Solution

    |

  3. If both roots of the equation x^(2)-2 a x+a^(2)-1= 0 lie between -2 an...

    Text Solution

    |

  4. If alpha, beta are the roots of a x^(2)+b x+c=0 and A(n)=alpha^(n)+bet...

    Text Solution

    |

  5. If alpha, beta are the roots of x^(2)-a x+b=0 and A(n)='alpha'^(n)+bet...

    Text Solution

    |

  6. In the equation x^(2)+p x+q=0 the coefficient of x was incorrectly wri...

    Text Solution

    |

  7. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  8. If a, b, c are in A.P and (b-c) x^(2)+(c-a) x+(a-b)=0 and 2(c+a) x^(2)...

    Text Solution

    |

  9. If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...

    Text Solution

    |

  10. If the ratio of the roots of the equation a x^(2)+b x+c=0 is equal to ...

    Text Solution

    |

  11. If a, b, c are in H . P, then the equation a(b-c) x^(2)+b(c-a) x+c...

    Text Solution

    |

  12. The quadratic equation whose roots are A.M and H . M between the roots...

    Text Solution

    |

  13. Root(s) of the equation 9 x^(2)-18|x|+5=0 belonging to the domain of ...

    Text Solution

    |

  14. Real roots of the equation x^(2)+6|x|+5=0 are

    Text Solution

    |

  15. The sum of the roots of the equation|x^(2)+4 x+3|+2 x+5=0 is

    Text Solution

    |

  16. The set of all real numbers x for which x^(2)-|x+2|+x>0 is

    Text Solution

    |

  17. The sum of the real roots of the equation x^(2)+|x|-12=0 is

    Text Solution

    |

  18. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  19. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  20. The sum of distinct values of x such that |x^(2)-x-6|=x+2 is

    Text Solution

    |