Home
Class 12
MATHS
The number of integral values of a for w...

The number of integral values of a for which the quadratic equation `(x+a)(x+1991)+1=0` has integral roots are a. 3 b. 0 c. 1 d. 2

A

Number of integral values of a are 2

B

Both the integgral value3s of a is divisible by 2

C

one of the integral value of a is divisible by 2

D

If the integral values of a are `alpha&beta` such that `alpha gtbeta then alpha-beta=4`

Text Solution

Verified by Experts

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 all the integral values of a for which the quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots.

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots

Number of possible value(s) of integer 'a' for which the quadratic equation x^(2) + ax + 16 = 0 has integral roots, is

Find the value of k for which the quadratic equation 3x^2+kx+3=0 has real and equal roots.

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

The integral value of m for which the quadratic equation (2m-3)x^2-4x+2m-3=0 has both the roots negative is given by

Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2-(a^2-3a+2)=0 has only real roots

Number of integral values of b for which the equation (x^3)/3-x=b has three distinct solutions is____

Number of integral values of b for which the equation (x^3)/3-x=b has three distinct solutions is____

RESONANCE ENGLISH-DPP-QUESTION
  1. For m in R, f(x) =x^(3)+3mx^(2)-3x-3m+2"has 3 real roots" x(1),x(2)and...

    Text Solution

    |

  2. The integral values of x for which x^(2)+7x+13 is perfect square are a...

    Text Solution

    |

  3. The number of integral values of a for which the quadratic equation (x...

    Text Solution

    |

  4. If both roots of the equation a(x^2-1)+x+c are imaginary and c gt -1 t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The set (AnnB')'uu(BnnC) is equal to

    Text Solution

    |

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

    Text Solution

    |

  15. 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

    |

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

    Text Solution

    |

  17. Of the members of three athletic teams in a certain school, 21 are in ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |