Grade 11Algebra
if z=x+iy and |2z+1|=|Z-2i| show that 3(x2+y2)+4(x+y)=3X2 IS X SQUAREY2 IS Y SQUARE
if z=x+iy and |2z+1|=|Z-2i| show that 3(x2+y2)+4(x+y)=3
X2 IS X SQUARE
Y2 IS Y SQUARE
1 Answer
Arun
Dear student
Dear student
|2x + 1 +2 iy| = |x + i(y – 2)|
4x^2 + 1 + 4x +4 y^2 = x^2 + y^2 + 4 - 4y
3 x^2 + 3 y^2 + 4x + 4y = 3
Hope it helps
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