If the coordinates of one end of a diameter

Asked by admin @ in Math viewed by 297 People

if the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5), then find the coordinates of the other end of the diameter.

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Answer:

The coordinates of the other end of the diameter is (-6,7).

Step-by-step explanation:

Let the coordinates of the other end of the diameter be (x,y).

It is given that the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5).

The center is the midpoint of end points of a diameter.

Center=(\frac{2+x}{2},\frac{3+y}{2})

(-2,5)=(\frac{2+x}{2},\frac{3+y}{2})

On compering both the sides.

\frac{2+x}{2}=-2

2+x=-4

x=-6

The value of x is -6.

\frac{3+y}{2}=5

3+y=10

y=7

The value of y is 7.

Therefore the coordinates of the other end of the diameter is (-6,7).


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