If z=4-7i , then additive inverse of z lies in : *
1 point
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
Answers
Given : z=4-7i
To find : additive inverse of z lies in which quadrant
Solution:
Additive inverse of a number X is the number that, when added to X , yields
zero
-X is additive inverse of X
& X is additive inverse of - X
as X + (-X) = -X + X = 0
z=4-7i
let say M + iN is additive inverse
=> 4 - 7i + M + iN = 0
=> (4 + M ) + i(N - 7) = 0
=> 4 + M = 0
=> M = - 4
N - 7 = 0
=> N = 7
-4 + 7i is additive inverse of 4 - 7 i
-4 ( x axis) ( 2nd or 3d Quadrant )
7i ( y axis) ( 1st or 2nd Quadrant )
Common in Both
2nd Quadrant
Hence additive inverse of z lies in Second quadrant
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