Home
Class 11
MATHS
The roots of the quadratic equation 2x^2...

The roots of the quadratic equation `2x^2+3x+1`=0 are

A

Irrational

B

Rational

C

Imaginary

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The roots of the quadratic equation x^(2)-2x+1=0 are ______ and _____.

Two roots of the quadratic equation 2x^(2) +3ix+2 =0 are-

Two roots of the quadratic equation x^(2) +3i x+ 10=0 are-

The roots of the quadratic equation x^(2)+a=0 are ______ .

Two roots of the quadratic equation 3x ^(2)+7i x+6 =0 are-

If the roots of the quadratic equation 5x^2 - 2x - 3 = 0 be alpha and beta , find the value of (1)/(alpha)+(1)/(beta) .

If the product of the roots of the quadratic equation x^(2)-3x+k=10 be (-2), then the value of k is

Construct the quadratic equation, the roots of which are the reciprcocals of the root of the quadratic equation x^(2)+px+1=0 .

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If alpha,beta,gamma are the roots of x^3+ax+b=0, then the value of alp...

    Text Solution

    |

  2. Find the number of redered pairs (x,y) satisfying x^2+1=y and y^2+1=x

    Text Solution

    |

  3. The roots of the quadratic equation 2x^2+3x+1=0 are

    Text Solution

    |

  4. The number of values of 'a' for which (a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4...

    Text Solution

    |

  5. If a and b are integers and 2-sqrt3 is a root of the equation 3x^2+ax+...

    Text Solution

    |

  6. If the sum of the roots of ax^2+bx+c=0 is equal to the sum of their s...

    Text Solution

    |

  7. If x is real number, then the minimum value of x^2+x+1 is

    Text Solution

    |

  8. If alpha and beta are the roots of ax^2+bx+c=0, then the equation ax^2...

    Text Solution

    |

  9. If the quadratic equations ax^2+2cx+b=0 and ax^2+2bx+c=0 (bne0) have a...

    Text Solution

    |

  10. The value of 'a' for which the equation x^3+ax+1=0 and x^4+ax^2+1=0, w...

    Text Solution

    |

  11. The coefficient of 'x' in the quadratic equation ax^2+bx+c=0 was wrong...

    Text Solution

    |

  12. If p and q are the roots of the equation x^2+px+q=0, then

    Text Solution

    |

  13. If one root of the equation x^2+px+12=0 is 4, while the equation x^2+p...

    Text Solution

    |

  14. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

    Text Solution

    |

  15. If one root of the equation x^2+(1-3i)x-2(1+i)=0is -1+i, then the oth...

    Text Solution

    |

  16. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

    Text Solution

    |

  17. If alpha,beta be the two roots of the equation x^2+x+1=0, then the equ...

    Text Solution

    |

  18. The harmonic mean of the roots of the equation (5+sqrt)x^2-(4+sqrt5)x+...

    Text Solution

    |

  19. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

    Text Solution

    |

  20. If the roots of x^2+bx+c=0 are both real and greater than unity, then ...

    Text Solution

    |