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Prove that (z1)^2 + (z2)^2 + (z3)^2 = 0 if z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1.
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Prove |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for any Complex no | Properties of Complex Numbers
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6. Prove that |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for complex numbers z1 and z2
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Prove that (z1)^2 + (z2)^2 + (z3)^2 = 0 if z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1.
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Prove that |1 - z1*conjugate(z2)|^2 - |z1 - z2|^2 = [1 - |z1|^2][1 - |z2|^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].](https://i.ytimg.com/vi/ActGGodJFwI/hqdefault.jpg)
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Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].
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Prove that |Z1+Z2|≤ |Z1|+|Z2| and |Z1+Z2|≥ ||Z1|-|Z2|| for Complex Numbers
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|z1z2| = |z1||z2|
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Mod (Z1-Z2)'2 = ?? ,part2 @ ! proof #maths #mathstrick #trick #youtubeshorts #shorts #short #mo...
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Q11- If Z1, Z2, Z3 represent the vertices of an equilateral triangle, Z1^2+Z2^2+Z3^2=Z1Z2+Z2Z3+Z3Z1
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Which of the following is correct for any two complex number z1 and z2 jee test series
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Let Z1=2-i,z2-2+i find Re(z1z2/conjz1)andim(1/z1conjz1)#q12#pgn113#ch5#complex#miscella#cannyClasses
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Prove that |1+z1*conj(z2)|^2 + |z1-conj(z2)|^2 = [1+|z1|^2][1+|z2|^2].
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5.Find the greatest and least values of |Z1+Z2| or Prove that ||z1|-|z2||≤|z1+z2|≤|z1|+|z2|
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2. For any two complex numbers z1 and z2, prove the Re(z1.z2)= Re z1 Rez2- Im z1 Imz2
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conjugate(z1 z2) = conjugate(z1) conjugate(z2)
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proof of modulus property## mod of（ Z1/Z2 ）= （modZ1）/（modZ2）# Youtubevideo
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