Question

the centre of a circle is C(-1,6)and one end of the diameter is A(5,9). find the coordinates of the other end​

Answer 1

Answer:

-7,3

Step-by-step explanation:

by the midpoint finding the point B which is the other end of the diameter

Answer 2

Answer:

the coordinates of other end of the diameter is (-7,3)

Step-by-step explanation:

Given, centre of the circle = C(-1,6) and one end of the diameter = A(5,9)

To find: coordinates of other end of the diameter

Let the unknown coordinates be B(x,y)

Then, midpoint of AB = $(\frac{5+x}{2} , \frac{9+y}{2})$

from the question, $\frac{5+x}{2} = -1$

⇒

    $5+x = -2\\ x = (-2) -(5)\\ x = -7$

also, $\frac{9+y}{2} = 6$

$9+y = 12\\ y = 12-9\\y=3$

Therefore, the coordinates of other end of the diameter is (-7,3)