Question

The center of the circle is (1,2)and(3,2) is the point on it find the coordinates of the other end of the diameter through this point

Answer 1

Step-by-step explanation:

The center of the circle is (1,2).

That implies it is the midpoint of the diameter.

So (3,2) is one end of the diameter.

Thus using midpoint formula,

( x1+x2/2 , y1+y2/2 ) = ( 1,2 )

Let x1 be 3, y1 be 2.

That implies,

( 3+x2/2 , 2+y2/2 ) = (1,2)

Now equate x co-ordinates.

3+x2/2 =1

=> x2/2 =1-3

=> x2/2 = -2

=> x2 = -2×2

=> x2 = -4

Now equate y co-ordinates.

=> 2+y2/2 = 2

=> y2/2 = 2-2

=> y2/2 = 0

=> y2 = 0×2

=> y2 = 0

Therefore, the other end of the diameter is (-4,0).

Hope it helped you buddy