Home
Class 11
MATHS
Find the locus of the points represen...

Find the locus of the points representing the complex number `z` for which`|z+5|^2-|z-5|^2=10.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

The locus of the points representing the complex numbers z for which |z|-2=|z-i|-|z+5i|=0 , is

The points representing the complex numbers z for which |z+4|^(2)-|z-4|^(2)=8 lie on

If |z|=2, the points representing the complex numbers -1+5z will lie on

If |z|=2, the points representing the complex numbers -1+5z will lie on

The point representing the complex number z for which arg ((z-2)/(z+2))=pi/3 lies on

Locate the point representing the complex number z on the Argand diagram for which |i-1-2z| gt 9 .

If |z-1-i|=1 , then the locus of a point represented by the complex number 5(z-i)-6 is

Find the complex number z such that z^2+|z|=0

The points representing complex number z for which |z+2+ 3i| = 5 lie on the locus given by

The locus of the point z is the Argand plane for which |z +1|^(2) + |z-1|^(2)= 4 is a

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z...

    Text Solution

    |

  2. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

    Text Solution

    |

  3. Find the locus of the points representing the complex number z for...

    Text Solution

    |

  4. The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. two ...

    Text Solution

    |

  5. Identify the locus of z if bar z = bar a +(r^2)/(z-a).

    Text Solution

    |

  6. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

    Text Solution

    |

  7. Two towns A and B are 60 km a part. A school is to be built to serve ...

    Text Solution

    |

  8. Find the amplitude of sinalpha+i(1-cosalpha)

    Text Solution

    |

  9. Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...

    Text Solution

    |

  10. Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...

    Text Solution

    |

  11. Let z=9+b i ,w h e r eb is nonzero real and i^2=-1. If the imaginary p...

    Text Solution

    |

  12. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

    Text Solution

    |

  13. Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...

    Text Solution

    |

  14. Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

    Text Solution

    |

  15. If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...

    Text Solution

    |

  16. If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2...

    Text Solution

    |

  17. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

    Text Solution

    |

  18. If the complex numbers x and y satisfy x^3-y^3=98 ia n dx-y=7i ,t h e ...

    Text Solution

    |

  19. If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one re...

    Text Solution

    |

  20. If z is any complex number such that |z+4|lt=3, then find the greatest...

    Text Solution

    |