Advertisement Remove all ads

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

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

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

Advertisement Remove all ads

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
  Is there an error in this question or solution?

APPEARS IN

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

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×