Home
Class 12
MATHS
If p and q are odd integers, then the eq...

If p and q are odd integers, then the equation `x^2+2x+2q=0` (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

A

has no integral roots

B

has no rational roots

C

has no irrational roots

D

has no imaginary roots.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise COMPREHENSIONS - I|3 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise COMPREHENSIONS - II|3 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I|50 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos

Similar Questions

Explore conceptually related problems

If p and q are odd integers, then the equation x^2+2px+2q=0 (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

If p and q are odd integers the equation x^(2)+2px+2q=0 cannot have (A) real real roots x^(2)+2px+2q=0 cannot have (A) real roots irrational roots

The equation 2x^(2)+3x+1=0 has an irrational root.

If f(x)=x has non real roots, then the equation f(f(x))=x (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

Which of the following is not true for equation x^(2)log8-xlog5=2(log2)-x (A) equation has one integral root (B) equation has no irrational roots (C) equation has rational roots (D) none of these

If p,q are odd intergers,then the roots of the equation 2pX^(2)+(2p+q)X+q=0 are :

The equation e^(sinx)-e^(-sinx)-4=0 has (A) non real roots (B) integral roots (C) rational roots (D) real and unequal roots

The equation x^(2) - 4x + 29 =0 has one root 2+ 5i. What is the other root?

FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
  1. Let f(x) is a quadratic expression with positive integral coefficient...

    Text Solution

    |

  2. If 0 lt c lt b lt a and the roots alpha, beta the equation cx^(2)+bx+a...

    Text Solution

    |

  3. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

    Text Solution

    |

  4. If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equatio...

    Text Solution

    |

  5. The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 i...

    Text Solution

    |

  6. If p and q are odd integers, then the equation x^2+2x+2q=0 (A) has no ...

    Text Solution

    |

  7. pi^e/(x-e) + e^pi/(x-pi) + (pi^pi+e^e)/(x-pi-e)=0 has

    Text Solution

    |

  8. If ax^(2)+bx+c=0 and cx^(2)+bx+a=0 (a, b, c in R) have a common non - ...

    Text Solution

    |

  9. The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

    Text Solution

    |

  10. If the equation cx^(2)+bx-2a=0 has no real roots and a lt (b+c)/(2) th...

    Text Solution

    |

  11. If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0, if real,...

    Text Solution

    |

  12. If the equation whose roots are the squares of the roots of the cubic ...

    Text Solution

    |

  13. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

    Text Solution

    |

  14. If f(x) = 0 is a polynomial whose coefficients all pm 1 and whose root...

    Text Solution

    |

  15. If a,b,c,d in R and all the three roots of az^3 + bz^2 + cZ + d=0 ha...

    Text Solution

    |

  16. The equation a(8)x^(8)+a(7)x(8)^(7)+a(6)x^(6)+…+a(0)=0 has all its po...

    Text Solution

    |

  17. Which of the following is correct for the quadratic equation x^(2)+2(a...

    Text Solution

    |

  18. If (x^(2)+ax+3)/(x^(2)+x+a), takes all real values for possible real v...

    Text Solution

    |

  19. If each pair of the following equations x^2+px+qr=0, x^2+qx+pr=0 and x...

    Text Solution

    |

  20. If a, b, c, d are four non - zero real numbers such that (d+a-b)^(2)+(...

    Text Solution

    |