Home
Class 11
MATHS
What are the cartesian co-ordinates of t...

What are the cartesian co-ordinates of the points 1+i, 2+i, 2+3i, 1+3i?

Text Solution

Verified by Experts

The correct Answer is:
(1,1), (2,1), (2,3), (1,3)
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |106 Videos

  • CONIC SECTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|90 Videos

Similar Questions

Explore conceptually related problems

Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3i

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k .Write a general point on this straight line.

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

Show that the images of the given complex numbers 3+2 i , 5 i,-3+2 i and -i form a square.

prove that (-1 + i)^2 = -2i

What is the polar form of 1 - sqrt3i ?

If the points P,Q,R,S are representing the complex numbers -1, 3i, 3+2i and 2-i respectively on the argand plane, prove that PQRS is a square

A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express (1-i)(sqrt3+i) in polar form

    Text Solution

    |

  2. Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3...

    Text Solution

    |

  3. What are the cartesian co-ordinates of the points 1+i, 2+i, 2+3i, 1+3...

    Text Solution

    |

  4. If two points P and Q are represented by the complex numbers z1 and z2...

    Text Solution

    |

  5. If the points P,Q,R,S are representing the complex numbers -1, 3i, 3+2...

    Text Solution

    |

  6. If z = x+iy, prove that arg(z -1) = tan^(-1)(y/(x-1)) and arg(z+1) = t...

    Text Solution

    |

  7. If arg((z-1)/(z+1)) = pi/2, show that x^2+y^2-1=0

    Text Solution

    |

  8. Express sqrt3-i in polar form using the polar form of sqrt3+i

    Text Solution

    |

  9. Use De-Moivere's theorem to find (sqrt3-i)^9 and (sqrt3-i)^(-1) in rec...

    Text Solution

    |

  10. Determine also, for which values of nepsilonZ, (sqrt3-i)^n is real

    Text Solution

    |

  11. Express 1 + i in modulus amplitude form

    Text Solution

    |

  12. Prove that (1 + i)^4 = -4

    Text Solution

    |

  13. Represent the complex number 1+sqrt3i in the polar form.

    Text Solution

    |

  14. What is the polar form of 1 - sqrt3i?

    Text Solution

    |

  15. Prove that (1 + sqrt3i)^n + (1 - sqrt3i)^n = 2^(n+1) cos ((npi)/3) for...

    Text Solution

    |

  16. Solve : x^2 - 2x + 4 = 0

    Text Solution

    |

  17. If alpha and beta are the roots of x^2 - 2x + 4 = 0, Prove that alpha^...

    Text Solution

    |

  18. Express (1+i)/sqrt3+i in the form x + iy. Hence, find the polar form o...

    Text Solution

    |

  19. Nisha derived the polar form of (1+i)/sqrt3+i by using the polar forms...

    Text Solution

    |

  20. Using the polar form and x + iy form of (1+i)/sqrt3+i, prove that cosp...

    Text Solution

    |