Question

The coordinates of one end of a diameter of circle are (4,-1) and the coordinates of the centre of the circle are (1,-3) . Find the coardinates of the other end of the circle

Answer 1

Answer:

answer:(-2,-5)

Step-by-step explanation:

In a circle of a diameter one end of the coordinate is (4,-1)

midpoint of the diameter is (1,-3)

we know that midpoint formula is [x1+x2/2]    [y1+y2/2]

(4,-1)=(x1,y1)         (x2,y2)=?

∴[4+x2/2]          [-1+y2/2] =(1,-3)

[4+x2/2]=1         [-1+y2/2]=-3

[4+x2]=2            [-1+y2]=-6

x2=2-4               y2=-6+1

∴x2=-2               y2=-5