Home
Class 10
MATHS
If the equation x^(2)-kx+1=0 has no real...

If the equation `x^(2)-kx+1=0` has no real roots then

A

`klt-2`

B

`kgt2`

C

`-2ltklt2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C

For no real roots, we must have:` b^(2)-4aclt0.`
`k^(2)-4lt0impliesk^(2)lt4implies-2ltklt2.`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4E|71 Videos
  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos
  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(2)+5kx+16=0 has no real roots then

If the equation 4x^(2)-3kx+1=0 has equal roots then k=?

The equation x^(2)+2|x|+1=0 has two real roots

If the equation 9x^(2)+6kx+4=0 has equal roots then k=?

If the equation 16x^(2)+6kx+4=0 has equal roots, then what is the value of k?

Find the values of k for which the equation x^(2)+5kx+16=0 has no real roots.

If the equation x^2-kx+3=0 has a real solution, then least integer value of k is

the value(s) if k for which the equation 5kx^(2)-8x+2=0 has real roots

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

Find the least positive value of k for which the equation x^(2)+kx+4=0 has real roots.

RS AGGARWAL-QUADRATIC EQUATIONS -Test Yourself
  1. If the roots of 5x^(2)-kx+1=0 are real and distinct then

    Text Solution

    |

  2. If the equation x^(2)+5kx+16=0 has no real roots then

    Text Solution

    |

  3. If the equation x^(2)-kx+1=0 has no real roots then

    Text Solution

    |

  4. For what values of k, the equation kx^(2)-6x-2=0 has real roots?

    Text Solution

    |

  5. The sum of a number and its reciprocal is 2(1)/(20). The number is

    Text Solution

    |

  6. The perimeter of a rectangle is 82 m and its area is 400 m^(2). The br...

    Text Solution

    |

  7. The length of a rectangular field exceeds its breadth by 8 m and the a...

    Text Solution

    |

  8. The roots of the quadratic equation 2x^2 - x - 6 = 0 are

    Text Solution

    |

  9. The sum of two natural numbers is 8 and their product is 15. Find the ...

    Text Solution

    |

  10. Show that x=-3 is sloustion of x^2+6x+9=0A

    Text Solution

    |

  11. Show that x=-2 is a solution of 3x^(2)+13x+14=0.

    Text Solution

    |

  12. If x=-(1)/(2) is a solution of the quadratic equation 3x^(2)+2kx-3=0, ...

    Text Solution

    |

  13. The roots of the quadratic equation 2x^2 - x - 6 = 0 are

    Text Solution

    |

  14. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

    Text Solution

    |

  15. If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find t...

    Text Solution

    |

  16. If the quadratic equation p x^2 - 2 sqrt(5)px + 15 = 0 has two equal ...

    Text Solution

    |

  17. If 1 is a root of the equation ay^(2)+ay+3=0" and "y^(2)+y+b=0 then fi...

    Text Solution

    |

  18. If one zero of the polynomial x^3-4x+1 is 2+sqrt3 write the other zero

    Text Solution

    |

  19. If one root of the quadratic equation 3x^(2)-10x+k=0 is reciprocal of ...

    Text Solution

    |

  20. Find the value of p for which the roots of the equation px (x — 2) + 6...

    Text Solution

    |