complex nos
if z represents a complex number then find minimum and maximum value of |z| if |z-2|-|z+2|=2
pls give geometric approach
8 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.a hyperbola is locus of point whose diff of distance from two fixed points is constant 2a(>2ae)
from this i get the idea that it must be a hyperbola with foci +-2
its also not a straight line because dist b/w foci> 2
however its only the left side of a hyperbola somehow
can some1 explain how
I frr started complex today dude iska solution aa jaye to yaad se merko ek ping daalna
Difference of distance is | |z-a|-|z-c||=d. Opening this from both signs give the two arms of hyperbola
To locate the one you have, notice that the distance between z and 2 is greater than z and -2. So it will be the one with -2 as focus ig.
ohhh
what if the given diff was more than the dist between two foci
like |z-2|-|z+2|=6
No such z exists.
Try to convert this into x and y and deduce this.
