Home
Class 11
MATHS
If from a point P representing the compl...

If from a point P representing the complex number `z_1` on the curve `|z|=2`, two tangents are drawn from P to the curve `|z|=1`, meeting at points `Q(z_2) and R(z_3)`, then :

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

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

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

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

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

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

Point P represent the complex number z=x+iy and point Qrepresents the complex number z+1/z. If P moves on the circle |z|=2, then the eccentricity of locus of point Q is

If z_(1) , z_(2), z_(3) are three complex numbers in A.P., then they lie on :

Two points P and Q in the argand plane represent the complex numbers z and 3z+2+u . If |z|=2 , then Q moves on the circle, whose centre and radius are (here, i^(2)=-1 )

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z1, z2 are two complex numbers (z1!=z2) satisfying |z1^2-z2^2|=| z...

    Text Solution

    |

  2. The quadratic equation p(x)=0 with real coefficients has purely imagi...

    Text Solution

    |

  3. If from a point P representing the complex number z1 on the curve |z...

    Text Solution

    |

  4. Let alpha and beta be the roots x^2-6x-2=0, with alpha > beta If an=al...

    Text Solution

    |

  5. If |z-3|=min{|z-1|,|z-5|}, then Re(z) equals to

    Text Solution

    |

  6. For the following question, choose the correct answer from the codes ...

    Text Solution

    |

  7. Minimum value of| z1- z2| as z1& z2 over the curves √3

    Text Solution

    |

  8. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  9. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

    Text Solution

    |

  10. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

    Text Solution

    |

  11. If z1=5+12 i and |z2|=4,t h e n

    Text Solution

    |

  12. If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...

    Text Solution

    |

  13. If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z ...

    Text Solution

    |

  14. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for re...

    Text Solution

    |

  15. Write a linear equation representing a line which is parallel to y-axi...

    Text Solution

    |

  16. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

    Text Solution

    |

  17. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  18. The set of all possible real values of a such that the inequality (x-(...

    Text Solution

    |

  19. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

    Text Solution

    |

  20. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

    Text Solution

    |