Home
Class 11
MATHS
Find the locus of point z if z , i ,and ...

Find the locus of point `z` if `z` , `i` ,and `iz` , are collinear.

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

What is the locus of a point for which z=c?

If points having affixes z, -iz and 1 are collinear, then z lies on

The locus of point z satisfying Re (z^(2))=0 , is

If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of the point representing in the complex plane.

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| + |z-z_(2)| = |z_(1)-z_(2)|

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)|-|z-z_(2)|= constant (ne |z_(1)-z_(2)|)

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| - |z-z_(2)|= |z_(1)-z_(2)|

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| + |z-z_(2)| = constant ne (|z_(1)-z_(2)|)

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| = |z-z_(2)|

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)|= k|z-z_(2)|, k in R^(+), k ne 1

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt(...

    Text Solution

    |

  2. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

    Text Solution

    |

  3. Find the locus of point z if z , i ,and iz , are collinear.

    Text Solution

    |

  4. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

    Text Solution

    |

  5. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

    Text Solution

    |

  6. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

    Text Solution

    |

  7. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |

  8. Find the largest natural number a for which the maximum value of f(x)=...

    Text Solution

    |

  9. In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2...

    Text Solution

    |

  10. If omega is a complex nth root of unity, then sum(r=1)^n(ar+b)omega^(r...

    Text Solution

    |

  11. Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...

    Text Solution

    |

  12. If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2) , then prove that z1, z2, z3...

    Text Solution

    |

  13. If |z1/z2|=1 and arg (z1z2)=0 , then a. z1 = z2 b. |z2|^2 = z1*z2 ...

    Text Solution

    |

  14. Find the least value of n such that (n-2)x^2+8x+n+4>0,AAx in R ,w h ...

    Text Solution

    |

  15. The common roots of the equation Z^3+2Z^2+2Z+1=0 and Z^1985+Z^100+1=0 ...

    Text Solution

    |

  16. If z1 + z2 + z3 + z4 = 0 where bi in R such that the sum of no two ...

    Text Solution

    |

  17. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

    Text Solution

    |

  18. If |(z-2)//(z-3)|=2 represents a circle, then find its radius.

    Text Solution

    |

  19. If z1 is a root of the equation a0z^n+a1z^(n-1)+........+ (a(n-1)) z ...

    Text Solution

    |

  20. If f(x)=(a1x+b1)^2+(a2x+b2)^2+...+(an x+bn)^2 , then prove that (a1b1+...

    Text Solution

    |