Home
Class 11
MATHS
Find the number of real roots of the equ...

Find the number of real roots of the equation `(x-1)^2+(x-2)^2+(x-3)^2=0.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos
  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of y=x^(3)-x^(2)+x-2 and find the number of real root(s) of the equation x^(3)-x^(2)+x-2=0 . Also locate the root.

Draw the graph of y=x^(4)+2x^(2)-8x+3 Find the number of real roots of the equation x^(4)+2x^(2)-8x+3=0 . Also find the sum of the integral parts of all real roots.

Find the number of solutions of equation (2x-3)2^x=1

Find the number of real solutions to the equation 3cos^(-1)x-pix-pi/2=0

The sum of all real roots of the equation abs(x-2)^2+abs(x-2)-2 =0 is

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

Find the nature of the roots of the equation 2x^2-sqrt3x+2=0 .

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

The sum of the real roots of the equation abs(x)^2+absx-6 =0 is

The number of the real solutions of the equation x^2-3absx+2=0 is

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Is the following computation correct? If not give the correct compu...

    Text Solution

    |

  2. Consider an equilateral triangle having verticals at point A(2/sqrt3 e...

    Text Solution

    |

  3. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

    Text Solution

    |

  4. Find the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i...

    Text Solution

    |

  5. Let z,z(0) be two complex numbers. It is given that abs(z)=1 and the n...

    Text Solution

    |

  6. Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...

    Text Solution

    |

  7. If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...

    Text Solution

    |

  8. Find the maximum and minimum values of the function y=(log)e(3x^4-2x^3...

    Text Solution

    |

  9. If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...

    Text Solution

    |

  10. Find the value of k if x^3-12x+k=0 has three real distinct roots.

    Text Solution

    |

  11. Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...

    Text Solution

    |

  12. If|z|=1 , then prove that points represented by sqrt((1+z)//(1-z)) lie...

    Text Solution

    |

  13. If omega is an imaginary fifth root of unity, then find the value of ...

    Text Solution

    |

  14. a ,b ,a n d c are all different and non-zero real numbers on arithmet...

    Text Solution

    |

  15. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

    Text Solution

    |

  16. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

    Text Solution

    |

  17. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  18. If z is a non real root of root(7)(-1) , then find the value of z^(86...

    Text Solution

    |

  19. The quadratic equation x^2+m x+n=0 has roots which are twice those of ...

    Text Solution

    |

  20. Let omega=-1/2+i(sqrt(3))/2dot Then the value of the determinant |1 1 ...

    Text Solution

    |