What is the other end of the diameter of the circle whose center is (1, 2) and one end
point is (3, 4)
Answers
Answered by
5
Step-by-step explanation:
The diameter is founded by diameter formula
Answered by
2
Answer:
hope it helps you
B = (-1,0)
step-by-step explanation:
Given,
a circle
whose centre is point O.
also let,
AB be its diameter
then,
also,
given that,
coordinates of
A = (3,4)
O = (1,2)
and,
let,
B = (x,y)
Now,
AB is the diameter,
therefore,
AO = BO = radius
Therefore,
O is the bisector of AB.
therefore,
by section formula,
sum of coordinate of x axis of A and B
= 2( coordinate of x axis of centre O)
=> 3+ x = 2×1
=> x = 2-3
=> x = -1
Similarly,
sum of coordinate of y axis of A and B
= 2( coordinate of y axis of centre O)
=> 4 + y = 2×2
=> y = 4 -4
=> y = 0
Hence,
the coordinate of other end of diameter,
B = (-1,0)
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