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if arg(z1/z2)=p/2 then find the value of |(z1+z2)/z1-z2)|
Dear kanish |(z1+z2)/z1-z2)| = 1|(z1+z2)|2 = |z1|2 + |z1|2 + 2|z1||z2|cos (θ1 -θ2)and|(z1-z2)|2 = |z1|2 + |z1|2 - 2|z1||z2|cos (θ1 -θ2)where θ1 and θ2 are arguments of z1 and z2θ1 -θ2 = pie/2 so cos (θ1 -θ2) = 0so both of them are equal RegardsArun
|(z1+z2)/z1-z2)| = 1
|(z1+z2)|2 = |z1|2 + |z1|2 + 2|z1||z2|cos (θ1 -θ2)
and|(z1-z2)|2 = |z1|2 + |z1|2 - 2|z1||z2|cos (θ1 -θ2)
where θ1 and θ2 are arguments of z1 and z2
θ1 -θ2 = pie/2 so cos (θ1 -θ2) = 0
so both of them are equal
Regards
Arun
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