Home
Class 12
MATHS
If the area of the triangle on the compl...

If the area of the triangle on the complex plane formed by the points z, iz and z+iz is 50 square units, then `|z|` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the area of the triangle on the complex plane formed by complex numbers z, omegaz is 4 sqrt3 square units, then |z| is

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

Show that the area of the triangle on the Argand diagram formed by the complex numbers z, zi and z+ zi is =(1)/(2) |z|^(2)

Illustrate in the complex plane the set of points z satisfying |z + i- 2| le 2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

The area of the triangle whose vertices are represented by 0,z,z e^(ialpha)

The area of the triangle whose vertices are represented by the complex numbers O,z and iz 'where z is (cos alpha + i sin alpha) is equial to -

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

    Text Solution

    |

  2. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  3. If the area of the triangle on the complex plane formed by the points ...

    Text Solution

    |

  4. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

    Text Solution

    |

  5. Let f(x)=x+1/xa n dg(x)=(x+1)/(x+2) Match the composite function give...

    Text Solution

    |

  6. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

    Text Solution

    |

  7. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

    Text Solution

    |

  8. inte^(xlna)*e^x dx

    Text Solution

    |

  9. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

    Text Solution

    |

  10. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

    Text Solution

    |

  11. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

    Text Solution

    |

  12. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

    Text Solution

    |

  13. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

    Text Solution

    |

  14. int1/(1+sqrt(x))"dx" is equal to a. 2sqrt(x)+2ln|1+sqrt(x)|+c ...

    Text Solution

    |

  15. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

    Text Solution

    |

  16. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

    Text Solution

    |

  17. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  18. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi/8) ...

    Text Solution

    |

  19. Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) h...

    Text Solution

    |

  20. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

    Text Solution

    |