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

Answer:

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

Step-by-step explanation:

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

Formula for midpoint: midpoint=$\frac{(x1+x2)}{2} ;\frac{y1+y2}{2}$

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)