Home
Class 12
MATHS
Find the smallest positive integral valu...

Find the smallest positive integral values of a for which the greater root, of the equation `x ^(2) - (a ^(2) + a +1) x + (a ^(2) +1) =0` lies between the roots of the equation `x ^(2) -a^(2)x-2 (a^(2) -2) =0`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Find the smallest positive integral value of a for which the greater root of the equation x^2-(a^2+a+1)x+a(a^2+1)=0 lies between the roots of the equation x^2-a^2x-2(a^2-2)=0

Find the roots of the equation x^2+7x-1=0

Find the root of the equation |x-1|^(x^(2)+x-2)=1

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

Find the roots of the equations. Q. x^(2)-2x+5=0

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

Find the roots of the equations. Q. 2x^(2)+x-3=0

Find the roots of the equation 2x^2 - x + 1/8 = 0

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).

RESONANCE ENGLISH-DPP-QUESTION
  1. The value of x satisfying the equation cos(lnx)=0, is (A) e^(pi//2) (...

    Text Solution

    |

  2. The value of the expression ((sin3theta)/sin theta)^2-((cos3theta)/cos...

    Text Solution

    |

  3. Find the smallest positive integral values of a for which the greater ...

    Text Solution

    |

  4. The set of values of 'c' for which the equation x^(2)-4x-c-sqrt(8x^(2)...

    Text Solution

    |

  5. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  6. If lta(n)gtandltb(n)gt be two sequences given by a(n)=(x)^((1)/(2^(n))...

    Text Solution

    |

  7. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  8. Consider the cubic equation x^(3)-(1+ cos theta+sin theta)x^(2)+(cos t...

    Text Solution

    |

  9. Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(...

    Text Solution

    |

  10. If sintheta+sinphi=aand costheta+ cosphi =b, then

    Text Solution

    |

  11. If sin theta+cos theta=1/5and 0ltthetalt2pi,then tan thetais

    Text Solution

    |

  12. If 0 le x, y le 180^(@) and sin(x-y)=cos (x+y)=1/2, then the values of...

    Text Solution

    |

  13. If tan x + tan 2x + tan 3x = 0 then which of the following can hold go...

    Text Solution

    |

  14. Along a road lies an odd number of stones placed at intervals of 10 m....

    Text Solution

    |

  15. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  16. If the sum of the first 2n terms of the A.P. 2, 5, 8, ..., is equal to...

    Text Solution

    |

  17. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  18. Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The...

    Text Solution

    |

  19. Sum of an infinitely manu terms of a G.P. is 3 times the sum of even t...

    Text Solution

    |

  20. Given x in (-1,0)uu(0,1)and f(x)= sum(n=0)^(oo) x^(n)(-1)^(n(n+1)/(2))...

    Text Solution

    |