one of the end points of a circle having center at origin is A(3,-2) then the other point of the diameter has the coordinate is____
(fill in the blanks, and explain how the answer came)
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Answer:
(-3,2)
Step-by-step explanation:
one of the end - points of a circle having centre at origin is A(3, -2), then the other end -point of the diameter has the coordinates.
Let other end -point of the diameter is B(x, y)
we know, centre of circle divides two equal parts of diameter. or we can say that centre is the midpoint of diameter.
use midpoint section formula,
if (x1,y1) and (x2,y2) are two points
then, midpoint = [(x1+x2)/2, (y1+y2)/2]
in question, two points A(3,-2) and B(x,y)
and midpoint is O(0,0)
so, 0 = (3 + x)/2 => x = -3
and 0 = (-2 + y)/2 => y = 2
hence, other end-point of diameter is (-3,2)
therefore, (-3,2) is correct.
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