Home
Class 10
MATHS
If the equation x^(2)- bx+ 1 = 0 does no...

If the equation `x^(2)- bx+ 1 = 0` does not possess real roots, then which one of the following is correct?

A

`-3 lt b lt 3`

B

`-2 lt b lt 2`

C

`b gt 2`

D

`b lt - 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 2)|14 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MATCH THE FOLLOWING)|1 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 4.4)|8 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|15 Videos

Similar Questions

Explore conceptually related problems

If the equation x^2-b x+1=0 does not possess real roots, then -3 2 (d) b<-2

a, b, c, in R, a ne 0 and the quadratic equation ax^(2) + bx + c = 0 has no real roots, then which one of the following is not true?

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of the equation 3ax^(2)+ 2bx + c = 0 are in the ratio 2:3 , then which one of the following is correct ?

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of the quadratic equation 3x^(2) - 5x + p =0 and unequal , then which one of the following is correct ?

If the roots of an equation ax^(2) + bx + c=0 are positive , then which one of the following is correct ?

If the roots of the equation x^(2)-2ax+a^(2)+a -3=0 are real and less than 3, then which one of the following is correct ?

MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
  1. If the quadratic equation mx^2+2x+m=0 has two equal roots, then the v...

    Text Solution

    |

  2. The value of sqrt(6+sqrt(6+sqrt(6+..oo))) is

    Text Solution

    |

  3. If the equation x^(2)- bx+ 1 = 0 does not possess real roots, then whi...

    Text Solution

    |

  4. If x = 1 is a common root of the equations ax^(2) + ax + 3 = 0 and x^(...

    Text Solution

    |

  5. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of th...

    Text Solution

    |

  6. The roots of the equations 2x - (3)/(x) = 1 are

    Text Solution

    |

  7. For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and eq...

    Text Solution

    |

  8. The equation k^(2) x^(2) + kx + 1 = 0 has

    Text Solution

    |

  9. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)...

    Text Solution

    |

  10. For what value of k, the equation x^(2) + 4kx + 4 = 0 has equal roots...

    Text Solution

    |

  11. If alpha , beta roots of the equations x^(2) - 5x + 6 = 0, find the va...

    Text Solution

    |

  12. An integer when added to its square equals 182. One of the integer is

    Text Solution

    |

  13. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  14. Study the statement carefully. Statement I : Both the roots of the e...

    Text Solution

    |

  15. Two numbers differ by 3 and their product is 504. Find the number.

    Text Solution

    |

  16. Find the value of k for the equation 2x^(2) + kx + 2 = 0, if it has eq...

    Text Solution

    |

  17. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |

  18. Divide 16 into two parts such that twice the square of the larger p...

    Text Solution

    |

  19. Out of a number of saras birds, one-fourth of the number are moving ab...

    Text Solution

    |

  20. A farmer wishes to grow a 100m^2 rectangular vegetable garden. Since h...

    Text Solution

    |