Home
Class 11
MATHS
Convert (1+3i)/(1-2i) into the polar for...

Convert `(1+3i)/(1-2i)` into the polar form.

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

Convert the complex number (1+i)/(1-i) in the polar form

Convert the complex number (-16)/(1+isqrt(3)) into polar form.

Convert the complex number 4/(1-isqrt3) in the polar form.

Convert the complex number (-16)/(1+isqrt(3)) into polar form.

Convert ((2+3i)^(2))/(2-i) in the form of a+ib and find its conjugate.

- 1- i convert in polar form.

Write 1-i in polar form.

Represent the complex numbers (1+7i)/((2-i)^(2)) in polar form

Convert the following in the polar form : (i) (1+7i)/((2-i)^2) (ii) (1+3i)/(1-2i)

Convert ((1)/(2)+2i)^(3) in the form of a+ib .

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find...

    Text Solution

    |

  2. Let A ,B ,C ,D be four concyclic points in order in which A D : A B=C ...

    Text Solution

    |

  3. Convert (1+3i)/(1-2i) into the polar form.

    Text Solution

    |

  4. If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is ...

    Text Solution

    |

  5. Let the altitudes from the vertices A, B and Cof the triangle e ABCmee...

    Text Solution

    |

  6. For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i

    Text Solution

    |

  7. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

    Text Solution

    |

  8. If z1=9y^2-4-10ix, z2=8y^2-20i, where z1=overline z2, then find z=x+i...

    Text Solution

    |

  9. If a rg(z1)=170^0 and arg(z2)=70^0 , then find the principal argument...

    Text Solution

    |

  10. z1, z2 and z3 are the vertices of an isosceles triangle in anticlockwi...

    Text Solution

    |

  11. function f , R ->R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of func...

    Text Solution

    |

  12. If z(1) and z(2) are conjugate to each other , find the principal argu...

    Text Solution

    |

  13. If a is a complex number such that |a|=1, then find the value of a, s...

    Text Solution

    |

  14. If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...

    Text Solution

    |

  15. Find the value of expression (cospi/2+i sin(pi/2))(cos(pi/(2^2))+i si...

    Text Solution

    |

  16. Solve for z , i.e. find all complex numbers z which satisfy |z|^2-2i z...

    Text Solution

    |

  17. If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' a...

    Text Solution

    |

  18. If a ,b are complex numbers and one of the roots of the equation x^2+a...

    Text Solution

    |

  19. If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣

    Text Solution

    |

  20. If (a x^2+c)y+(a^(prime)x^2+c^(prime) )=0 and x is a rational function...

    Text Solution

    |