Question

35. If z = x + iy, then the equation |z + 1| =
|z-1| represents
(A) y-axis
(B) a circle
(C) a parabola (D) x-axis​

Answer 1

Answer:

Option A is the answer...

Given:

The equation is, a |z+1|=|z-1|

As we know,

z=x+iy

|x+iy+1|=|x-iy-1|

√(x+1)²+y²=√(x-1)²+y²

squaring on both sides,

(x+1)²+y²=(x-1)²+y²

(x+1)²=(x-1)²

x²+2x+1-x²-1+2x=0

4x=0

x=0

So, the equation represents the y-axis.

Step-by-step explanation:

Hope it helps you frnd.......

Answer 2

Answer:

hey mate here ur ans

Step-by-step explanation:

Answer:

Option A is the answer...

Given:

The equation is, a |z+1|=|z-1|

As we know,

z=x+iy

|x+iy+1|=|x-iy-1|

√(x+1)²+y²=√(x-1)²+y²

squaring on both sides,

(x+1)²+y²=(x-1)²+y²

(x+1)²=(x-1)²

x²+2x+1-x²-1+2x=0

4x=0

x=0

So, the equation represents the y-axis.

Step-by-step explanation:

Hope it helps you frnd...........helpgul

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