find the locus of complex number z=x+ if z+4i + z-4i =10
Answers
Answered by
3
Answer:
Let z=x+iy
x
2
+(y−4)
2
+
x
2
+(y+4)
2
=10
⇒x
2
+(y−4)
2
=100+x
2
+(y+4)
2
−20
x
2
+(y+4)
2
⇒400(x
2
+(y+4)
2
)=(100+16y)
2
=(100)
2
+2×100×16y+256y
2
⇒400x
2
+400y
2
+3200y+6400=(100)
2
+3200y+256y
2
⇒400x
2
+144y
2
=3600
⇒
9
x
2
+
25
y
2
=1
Answered by
1
Answer:
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