Home
Class 11
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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 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

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____

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

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-p...

    Text Solution

    |

  2. If |z-2-i|=|z|sin(pi/4-a r g z)| , where i=sqrt(-1) ,then locus of z,...

    Text Solution

    |

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

    Text Solution

    |

  4. omega is an imaginary root of unity. Prove that (i) ( a + bomeg...

    Text Solution

    |

  5. If z is a complex number having least absolute value and |z-2+2i|=1,th...

    Text Solution

    |

  6. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, t...

    Text Solution

    |

  7. Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...

    Text Solution

    |

  8. omega is an imaginary root of unity. Prove that (a+bomega+comega^2)^3+...

    Text Solution

    |

  9. The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 ...

    Text Solution

    |

  10. If |z-1| + |z + 3| le 8, then prove that z lies on the circle.

    Text Solution

    |

  11. If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...

    Text Solution

    |

  12. If the quadratic equation a x^2+b x+6=0 does not have real roots and b...

    Text Solution

    |

  13. If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...

    Text Solution

    |

  14. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt(...

    Text Solution

    |

  15. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

    Text Solution

    |

  16. Find the locus of point z if z , i ,and iz , are collinear.

    Text Solution

    |

  17. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

    Text Solution

    |

  18. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

    Text Solution

    |

  19. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

    Text Solution

    |

  20. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |