Home
Class 11
MATHS
If z1=5+12 ia n d|z2|=4,t h e n (a)ma...

If `z_1=5+12 ia n d|z_2|=4,t h e n` (a)maximum `(|z_1+i z_2|)=17` (b)minimum `(|z_1+(1+i)z_2|)=13+4sqrt(2)` (c)minimum `|(z_1)/(z_2+4/(z_2))|=(13)/4` (d)maximum `|(z_1)/(z_2+4/(z_2))|=(13)/3`

Promotional Banner

Similar Questions

Explore conceptually related problems

If |z_1|=15a d n|z_2-3-4i|=5,t h e n a. (|z_1-z_2|)_(min)=5 b. (|z_1-z_2|)_(min)=10 c. (|z_1-z_2|)_(m a x)=20 d. (|z_1-z_2|)_(m a x)=25

If z_(1) =2 -i, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If (2z_1)/(3z_2) is purely imaginary then |(z_(1)-z_(2))/(z_(1)+z_(2))|

If |z_(1)+z_(2)|=|z_1|+|z_2| then

If z_(1)=2-i, z_(2)=1+i , find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+1)| .

If z_(1)=3-4i , z_(2)=2+i find bar(z_(1)z_(2))

If z_(1)=3-4i , z_(2)=2+i find bar(((z_(1))/(z_(2)))

If a m p(z_1z_2)=0a n d|z_1|=|z_2|=1,t h e n z_1+z_2=0 b. z_1z_2=1 c. z_1=z _2 d. none of these

If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that (z_(1) + z_(2)) z_(3) = z_(1) z_(3) + z_(2) z_(3)

If z_(1) = 1 - 3i, z_(2) = -4i and z_(3) = 5, show that (z_(1) + z_(2)) + z_(3) = z_(1) + (z_(2) + z_(3))