Question

The end points of the diameter of a circle are (2, 4) and (-3,-1). Find its centre.​

Answer 1

Answer:

Centre ( -1/2 , 3/2)

Step-by-step explanation:

The end points of a diameter is A(2 ,4) and B(-3,-1)

=> The midpoint of the diameter gives us the centre of circle

=>  Midpoint  $P(x,y)=(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )$

=> Midpoint = $(\frac{2-3}{2} ,\frac{4-1}{2} )=(\frac{-1}{2},\frac{3}{2})$