मराठी

Convert the given complex number in polar form: 1 – i

Advertisements
Advertisements

प्रश्न

Convert the given complex number in polar form: 1 – i

बेरीज
Advertisements

उत्तर

1 – i

Let r cos θ = 1 and r sin θ = –1

On squaring and adding, we obtain

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the modulus and the argument of the complex number  `z = – 1 – isqrt3`


Find the modulus and the argument of the complex number `z =- sqrt3 + i`


Convert the given complex number in polar form: – 1 + i


Convert the given complex number in polar form: – 1 – i


Convert the given complex number in polar form: –3


Convert the given complex number in polar form `sqrt3 + i`


Convert the given complex number in polar form: i


Convert the following in the polar form:

`(1+7i)/(2-i)^2`


Convert the following in the polar form:

`(1+3i)/(1-2i)`


If the imaginary part of `(2z + 1)/(iz + 1)` is –2, then show that the locus of the point representing z in the argand plane is a straight line.


Let z1 and z2 be two complex numbers such that `barz_1 + ibarz_2` = 0 and arg(z1 z2) = π. Then find arg (z1).


Let z1 and z2 be two complex numbers such that |z1 + z2| = |z1| + |z2|. Then show that arg(z1) – arg(z2) = 0.


If |z| = 2 and arg(z) = `pi/4`, then z = ______.


The locus of z satisfying arg(z) = `pi/3` is ______.


The amplitude of `sin  pi/5 + i(1 - cos  pi/5)` is ______.


If arg(z – 1) = arg(z + 3i), then find x – 1 : y. where z = x + iy.


z1 and z2 are two complex numbers such that |z1| = |z2| and arg(z1) + arg(z2) = π, then show that z1 = `-barz_2`.


Write the complex number z = `(1 - i)/(cos  pi/3 + i sin  pi/3)` in polar form.


If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = `pi/2`, then show that `barz`w = –i.


arg(z) + arg`barz  (barz ≠ 0)` is ______.


Find z if |z| = 4 and arg(z) = `(5pi)/6`.


Find principal argument of `(1 + i sqrt(3))^2`.


|z1 + z2| = |z1| + |z2| is possible if ______.


The value of arg (x) when x < 0 is ______.


If arg(z) < 0, then arg(–z) – arg(z) = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×