Question

If A(1,1) and B(7,9) are the end points of the diameter of circle, then the coordinates of the center of the circle are

Answer 1

the co ordinate of the centre of circle is (4,5)

Answer 2

Answer:

The coordinates of the center of the circle is (4,5).

Step-by-step explanation:

• Given two points A=(1,1) and B=(7,9) are the end points of the diameter of circle.  

• The center of the circle divides the diameter into two equal and it is the midpoint for the two end points of the diameter.

Midpoint of two pints

• Let the center be O= (x,y)

• So, Midpoint (x,y)= {(a₁+a₂)/2 , (b₁+b₂)/2}

               Here (a₁,b₁) = (1,1) and (a₂,b₂)=(7,9)

            (x,y) = {(1+7)/2 , (1+9)/2}

                    = (8/2,10/2)

            (x,y) = (4,5)

 Hence, the center of the circle = (4,5)

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