filmov
tv
Prove |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for any Complex no | Properties of Complex Numbers
Показать описание
In this video we proved |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for any complex numbers z1 and z2. To prove it we used many properties of complex numbers and also properties of conjugate complex numbers.
#ComplexNumbers #PropertiesOfComplexNumbers #ConjugateComplexNumbers
For more videos on MATHEMATICS visit playlists given below:
- Properties of Complex Numbers | Playlist
- How to Find Locus of Complex Numbers | Playlist
- Trigonometry | Playlist
- How to find Polar Form of Complex Numbers | Playlist
- Argument and Principal Argument of Complex Numbers | Playlist
- HCF and LCM | Playlist
- Geometry | Playlist
- The Argand Diagram | Trignometry | Playlist
- Factors and Multiples | Playlist
- Complex Numbers | Trignometry | Playlist
#ComplexNumbers #PropertiesOfComplexNumbers #ConjugateComplexNumbers
For more videos on MATHEMATICS visit playlists given below:
- Properties of Complex Numbers | Playlist
- How to Find Locus of Complex Numbers | Playlist
- Trigonometry | Playlist
- How to find Polar Form of Complex Numbers | Playlist
- Argument and Principal Argument of Complex Numbers | Playlist
- HCF and LCM | Playlist
- Geometry | Playlist
- The Argand Diagram | Trignometry | Playlist
- Factors and Multiples | Playlist
- Complex Numbers | Trignometry | Playlist
Prove |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for any Complex no | Properties of Complex Numbers
6. Prove that |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for complex numbers z1 and z2
Prove that |z_1+z_2 |^2= |z_1 |^2+|z_2 |^2+2Re(z_1 z_2^* ) Complex Numbers Modulus Properties
Prove that |1 - z1*conjugate(z2)|^2 - |z1 - z2|^2 = [1 - |z1|^2][1 - |z2|^2].
Prove that |Z1+Z2|≤ |Z1|+|Z2| and |Z1+Z2|≥ ||Z1|-|Z2|| for Complex Numbers
For any two complex numbers `z_1` and `z_2`, we have `|z_1+z_2|^2=|z_1|^2+|z_2|^2`, then
How to prove : |Z1-Z2|^2 + |Z1+Z2|^2 = 2(|Z1|^2 + |Z2|^2)
Prove the identity,`|1-z_1barz_2|^2-|z_1-z_2|^2=(1-|z_1|^2)(1-|z_2|^2)`
Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].
2. Find the greatest and least values of |Z1+Z2| or Prove that |z1+z2|≤|z1|+|z2| | AdnanAlig
|z1z2| = |z1||z2|
If z_1 and z_2 be any two complex numbers such that |z_1+z_2 |=|z_1 |+|z_2 |, then arg〖 z〗_1-arg
Properties of Conjugate Complex Numbers | Complex no | Conjugate Complex Numbers | Trignometry
Prove that (z1)^2 + (z2)^2 + (z3)^2 = 0 if z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1.
Which of the following is correct for any two complex number z1 and z2 jee test series
Prove the identity |1 - z1z2|^2 - |z1 - z2|^2 = (1 - |z1|^2)(1 - |z2|^2) Complex Number 11th Maths
2. For any two complex numbers z1 and z2, prove the Re(z1.z2)= Re z1 Rez2- Im z1 Imz2
Prove that ||𝒛_𝟏|+|𝒛_𝟐||≤ |𝒛_𝟏+𝒛_𝟐|≤ |𝒛_𝟏|+|𝒛_𝟐| | Complex Numbers | Properties of Complex Numbers...
5.Find the greatest and least values of |Z1+Z2| or Prove that ||z1|-|z2||≤|z1+z2|≤|z1|+|z2|
If z1, z2 are two complex numbers such that |z1 + z2| = |z1 – z2| then amp(z1) –...
This chapter closes now, for the next one to begin. 🥂✨.#iitbombay #convocation
conjugate(z1 z2) = conjugate(z1) conjugate(z2)
Q11- If Z1, Z2, Z3 represent the vertices of an equilateral triangle, Z1^2+Z2^2+Z3^2=Z1Z2+Z2Z3+Z3Z1
If `|z-2|=2|z-1|`, then show that `|z|^(2)=(4 )/(3)Re(z)`.
Комментарии