Question

The centre of the circle having endpoints of its diameter as (-4, 2) and ( 4, -3) is​

Answer 1

Step-by-step explanation:

In order to find the co-ordinates of the centre

of the circle with endpoints of diamter given as (-4,2) and (4,-3) we have to figure the mid points between the diameter {because diameter = 2×radius}

As we have to figure out the mid points of diameter

the ratio will be 1:1

Here , giving some variables to given data for solving the problem.

m1:m2 =1:1

m1/m2 = 1/1

(x1,y1) = (-4,2)

(x2,y2) = (4,-3)

(x,y) is the answer,

x = m1×x2+m2x1 / m1 + m2

x = 1 ×4 + 1×(-4) / 1+1

x = 4 - 4 / 2

x = 0/2

x = 0

There is another way to figure out the mid points

x = x1 + x2 / 2

x = -4+4 / 2

x = 0/2 = 0

(It's short way to solve if the ratio is 1:1)

And now solving value of y

y = y1 + y2 / 2

y = 2-3 / 2

y = -1 / 2

So, the co-ordinate of the centre is (0,-1/2)

Hope it helps !