Home
Class 9
MATHS
The number of real roots of the quadrati...

The number of real roots of the quadratic equation `(x-4)^(2)+ (x-5)^(2) + (x-6)^(2) = 0` is

A

1

B

2

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Use the concept of perfect square of a number.
(ii) If `a^(2) + b^(2) + c^(2) = 0` is true only when `a = b = c = 0`.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|19 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|23 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Qns|4 Videos

  • PROBABILITY

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Leval 3|10 Videos

Similar Questions

Explore conceptually related problems

The number of real roots of the quadratic equation 3x^(2) + 4 = 0 is

Root of the quadratic equation x^(2)+6x-2=0

The roots of the quadratic equation 2x^(2)-x-6=0 are

Find the roots of the quadratic equation 6x^(2)-x-2=0

The roots of the quadratic equation x^2+5x+6=0 are

The roots of the quadratic equation x^2+5x+6=0 are

The number of real root of the equation e^(x-1)+x-2=0 , is

The number of real roots of the equation |x^(2)|-5|x|+6=0 is

PEARSON IIT JEE FOUNDATION-QUADRATIC EXPRESSIONS AND EQUATIONS-Level 1
  1. For the quadratic equation x^(2) + 3x - 4 = 0 which of the following i...

    Text Solution

    |

  2. Find the quadratic equation whose roots are reciprocals of the roots ...

    Text Solution

    |

  3. The number of real roots of the quadratic equation (x-4)^(2)+ (x-5)^(2...

    Text Solution

    |

  4. The number of distinct real solution of |x|^(2) - 5|x| + 6 = 0 is

    Text Solution

    |

  5. The number of real roots of the equation |x^2|– 5|x|+6 = 0 is

    Text Solution

    |

  6. In writing a quadratic equation of the form x^(2) + px + q = 0,a stud...

    Text Solution

    |

  7. The roots of the equation 6x^(2) - 8sqrt(2x) + 4 = 0 are

    Text Solution

    |

  8. Which of the following equations has roots as a,b and c ?

    Text Solution

    |

  9. If the roots of the equation 2ax^(3) + (3b-9) x + 1 = 0 are -2 and 3,...

    Text Solution

    |

  10. The roots of the equation x^(2) + 5x + 1 = 0 are

    Text Solution

    |

  11. If alpha amd beta are the roots of the equation 3x^(2) - 2x - 8 = 0 t...

    Text Solution

    |

  12. If 2x^(2) + (2p - 13) x + 2 = 0 is exactly divisible by x-3, then the ...

    Text Solution

    |

  13. If x^(2) -ax - 6 = 0 and x^(2) + ax -2 = 0 have one common root, then ...

    Text Solution

    |

  14. The root of the equation (2)/(x-1)+(1)/(x+2) + (3x(x+1))/((x-1)(x+2)) ...

    Text Solution

    |

  15. If alpha and beta are the zeros of the Quadratic Polynomial F(X) = 6x^...

    Text Solution

    |

  16. The age of a father is 25 years more than his son's age. The product o...

    Text Solution

    |

  17. If the roots of the equation ax^(2) - bx + 5c = 0 are in the ratio of...

    Text Solution

    |

  18. The speed of Uday is 5 km/h more than that of Subash. Subash reaches ...

    Text Solution

    |

  19. If roots of the

    Text Solution

    |

  20. If the roots of the quadratic equation x^(2) - 3x - 304 = 0 are alpha...

    Text Solution

    |