Question

If the end points of a diameter of a circle are ( -2 , 3 ) and ( 4 , -5 ), then the coordinates of its centre are
A. ( 2, - 2 )
B. ( 1 , - 1 )
C. ( -1, 1 )
D. ( -2 , 2 )

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

B. (1, -1)

Step-by-step explanation:

We all know that centre of the circle is the mid point of the diameter.

If we have two points $(x_1,y_1)$ and $(x_2,y_2)$ then coordinates of its midpoint is given by $(\frac{ x_1+x_2}{2},\frac{y_1+y_2}{2} )$.

So, If the end points of a diameter of a circle are ( -2 , 3 ) and ( 4 , -5 ), then the coordinates of its centre are mid points of  ( -2 , 3 ) and ( 4 , -5 ) which is given by $\left(\frac{-2+4}{2},\frac{3-5}{2} \right) \equiv (1,-1)$.

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