Question

One endpoint of a diameter of a circle

centred on the origin is (-3, 4). Find the

coordinates of the other endpoint of this

diameter.

Answer 1

(a,b)=(3,-4)

Explanation:

As you know, center (0,0) is the midpoint of the diameter

Formula for midpoint: midpoint=
`((x1+x2))/(2) ;(y1+y2)/(2)`

lets put (x1,y1)=(a,b) assuming the other end point

(0,0)=((a+-3)/2);(b+4)/2)

Then

For a: 0=(a+-3)/2

0=a=-3

a=3

For b: (b+4)/2=0

b+4=0

b=-4

Therefore (a,b)=(3,-4)