Home
Class 11
MATHS
The graph of the function f(x)=x^(2)-2x+...

The graph of the function f(x)=`x^(2)-2x+2` does not touch the x-axis as shown below because the roots are imaginary. Find the roots of the quadratic equation.
.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (a)|11 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (b)|16 Videos

  • PROPERTIES OF TRIANGLE

    ICSE|Exercise EXERCISE 7|38 Videos

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .

Find the roots of the quadratic equation 3x^2-2sqrt(6)x+2=0

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

Find the roots of the following quadratic equation: 2/5x^2-x-3/5=0

ICSE-QUADRATIC EQUATIONS-CHAPTER TEST
  1. The graph of the function f(x)=x^(2)-2x+2 does not touch the x-axis as...

    Text Solution

    |

  2. Solve the equation: 5^(x+1)+5^(2-x)=5^(3)+1

    Text Solution

    |

  3. Solve the equations: sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6).

    Text Solution

    |

  4. Solve the equations: (x+1)(x+2)(x+3)(x+4)=120

    Text Solution

    |

  5. Prove that both the roots of the equation x^(2)-x-3=0 are irrational.

    Text Solution

    |

  6. For what values of m will the equation x^(2)-2mx+7m-12=0 have (i) equa...

    Text Solution

    |

  7. If one root of 2x^(2)-5x+k=0 be double the other, find the value of k.

    Text Solution

    |

  8. If alpha,beta be the roots of the equation x^(2)-x-1=0, determine the ...

    Text Solution

    |

  9. If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show t...

    Text Solution

    |

  10. If x is real, prove that the quadratic expression (i) (x-2)(x+3)+7 is ...

    Text Solution

    |

  11. Draw the graph of the quadratic function x^(2)-4x+3 and hence find the...

    Text Solution

    |

  12. For what real values of a, will the expression x^(2)-ax+1-2a^(2), for ...

    Text Solution

    |

  13. If x be real, prove that the value of (2x^(2)-2x+4)/(x^(2)-4x+3) canno...

    Text Solution

    |

  14. If the roots of the equation qx^(2)+2px+2q=0 are real and unequal, pro...

    Text Solution

    |

  15. If alpha,beta be the roots of x^(2)-px+q=0, find the value of alpha^(5...

    Text Solution

    |

  16. If the difference between the roots of the equation x^(2)+ax+1=0 is le...

    Text Solution

    |

  17. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

    Text Solution

    |

  18. alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta ...

    Text Solution

    |

  19. If alpha,beta are the roots of the equation x^(2)-2x-1=0, then what is...

    Text Solution

    |

  20. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@) and...

    Text Solution

    |

  21. If both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 are ...

    Text Solution

    |