Question

If the coordinates of one end of a diameter of a circle are(3,7)and the coordinates of its centre are(-2,5),then the coordinates of the other end of the diameter is called ____​

Answer 1

Answer:

Correct option is

(−6,7)

Let the coordinates of the one end of a diameter AB of a circle are A(2,3) and B(x,y).

Let the coordinates of the center of the circle C(−2,5).

As center is the midpoint of the diameter AB so the coordinates of center is

C(

2

2+x

,

2

3+y

)

Now equating the coordinates of center we get

2

2+x

=−2

⇒2+x=−4

⇒x=−4−2

⇒x=−6

2

3+y

=5

⇒3+y=10

⇒y=10−3

⇒y=7

∴Coordinates of B=(−6,7).