Question

Find the distance between point A(x+y ,x-y) and B(x-y ,-x-y)

Answer 1

Answer:

2(x+y)

Step-by-step explanation:

here,

x1= x+y x2= x -y

y1=x -y y2= -x-y

AB=√(x2-x1)2+(y2-y1)2

= √ ( x -y -(x+y)2+( -x-y-(x -y)2

= √( x-y-x-y)2+ (-x-y-x+y)2

=√ (-2y)2+ (-2x)2

=√ 4y2+ 4x2

=√ 4(x2+y2)

=2(x+y)