# The Line Segment Joining A( 2,9) and B(6,3) is a Diameter of a Circle with Center C. Find the Coordinates of C - Mathematics

The line segment joining A( 2,9) and B(6,3)  is a diameter of a circle with center C. Find the coordinates of C

#### Solution

The given points are A( 2,9) and B(6,3) .

Then , C (x,y) is the midpoint  of AB .

x = (x_1+x_2)/2 , y = (y_1 +y_2) /2

⇒ x = (-2+6)/2 , y = (9+3)/2

⇒ x = 4/2 , y = 12/2

⇒ x = 2 , y=6

Therefore, the coordinates of point C are  (2,6 ).

Concept: Coordinate Geometry
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 11