Home
Class 12
MATHS
If z is a complex number such that |z|=2...

If z is a complex number such that `|z|=2`, then the area (in sq. units) of the triangle whose vertices are given by `z, -iz and iz-z` is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 96

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 98

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number, then the area of the triangle (in sq. units) whose vertices are the roots of the equation z^(3)+iz^(2)+2i=0 is equal to (where, i^(2)=-1 )

If |z|=2 , then area of the triangle having vertices z, 2iz , and z+2iz is equal to

The area of the triangle whose vertices are the roots of z^(3)+iz^(2)+2i=0 is dots

Find the circumstance of the triangle whose vertices are given by the complex numbers z_(1),z_(2) and z_(3) .

If |z|=r. Area of the triangle whose vertices are z,wz and z+wz is 4sqrt(3) sq.units then the value of r is

If z is any complex number, then the area of the triangle formed by the complex number z, wz and z+wz as its sides, is

Area of the triangle formed by the complex number z, iz and z+iz is __________

The area of the triangle on the Arand plane formed by the complex numbers z, iz and z+iz is?

The area of the triangle formed by the points representing -z,iz and z-iz in the Argand plane, is

NTA MOCK TESTS-NTA JEE MOCK TEST 97-MATHEMATICS
  1. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  2. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  3. The solution set of x in(-pi,pi) for the inequality sin 2x+1 le cosx+2...

    Text Solution

    |

  4. The integral I=intsin (2theta)[(1+cos^(2)theta)/(2sin^(2)theta)]d thet...

    Text Solution

    |

  5. If f(x) satisfies f(x)+f(3-x)=3 AA x in R, then the value of integral ...

    Text Solution

    |

  6. The area (in sq. units) bounded by y=x|x| and the line y=x is equal to

    Text Solution

    |

  7. The equation of the curve for which the slope of the tangent at any po...

    Text Solution

    |

  8. Three boxes are labeled as A, B and C and each box contains 5 balls nu...

    Text Solution

    |

  9. An line parallel to 6hati-3hatj+2hatk intersects the line (x)/(1)=(y)/...

    Text Solution

    |

  10. The value of |(cos.(2pi)/(63),cos.(3pi)/(70),cos.(4pi)/(77)),(cos.(pi)...

    Text Solution

    |

  11. If the system of equation 14x-3y+z=12, x-2y=0 and x+2z=0 has a solutio...

    Text Solution

    |

  12. A triangle has two of its vertices at (0,1) and (2,2) in the cartesian...

    Text Solution

    |

  13. If a circle passes through the point (1, 1) and cuts the circle x^(2)+...

    Text Solution

    |

  14. The length of intercept cut but the line 4x+4sqrt3y-1=0 on the curve y...

    Text Solution

    |

  15. If the eccentricity of the hyperbola (x^(2))/((1+sin theta)^(2))-(y^(2...

    Text Solution

    |

  16. At the foot of a mountain the elevation of its summit is 45^@, after a...

    Text Solution

    |

  17. If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...

    Text Solution

    |

  18. The smallest natural value of a for which the function f(x)=2(x+1)-a(2...

    Text Solution

    |

  19. Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...

    Text Solution

    |

  20. If z is a complex number such that |z|=2, then the area (in sq. units)...

    Text Solution

    |