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If one end of a diameter of a circle is (4, 6) and the centre is ( – 4, 7), then the other end is
- a)(8, – 12)
- b)(8, – 6)
- c)( – 12, 8)
- d)(8, 10)
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If one end of a diameter of a circle is (4, 6) and the centre is ( ...
Explanation:
one end of a diameter is A(4 , 6) and the centre is O ( - 4 , 7) .... ( Given)
Let the other end be B (x,y)
Since centre is the mid-point of diameter of the circle.
Since centre is the mid-point of diameter of the circle.
therefore coordinates of centre O are x = (4 + x) / 2
Therefore, the required coordinates of other end of the diameter are (−12,8).
Most Upvoted Answer
If one end of a diameter of a circle is (4, 6) and the centre is ( ...
Solution:
Given, one end of the diameter of a circle is (4, 6) and the centre is (4, 7).
We need to find the other end of the diameter.
Let the other end of the diameter be (x, y).
Now, we know that the centre of the circle is the midpoint of the diameter.
Therefore, we can use the midpoint formula to find the other end of the diameter.
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
Centre of the circle = Midpoint of the diameter
(4, 7) = ((4 + x)/2, (6 + y)/2)
Simplifying the above equation, we get
8 = 4 + x/2
x/2 = 8 - 4
x/2 = 4
x = 8
and
7 = 6 + y/2
y/2 = 7 - 6
y/2 = 1
y = 2
Therefore, the other end of the diameter is (8, 2).
Hence, the correct answer is option C) (12, 8).
Answer: (8, 2)
Given, one end of the diameter of a circle is (4, 6) and the centre is (4, 7).
We need to find the other end of the diameter.
Let the other end of the diameter be (x, y).
Now, we know that the centre of the circle is the midpoint of the diameter.
Therefore, we can use the midpoint formula to find the other end of the diameter.
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
Centre of the circle = Midpoint of the diameter
(4, 7) = ((4 + x)/2, (6 + y)/2)
Simplifying the above equation, we get
8 = 4 + x/2
x/2 = 8 - 4
x/2 = 4
x = 8
and
7 = 6 + y/2
y/2 = 7 - 6
y/2 = 1
y = 2
Therefore, the other end of the diameter is (8, 2).
Hence, the correct answer is option C) (12, 8).
Answer: (8, 2)
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If one end of a diameter of a circle is (4, 6) and the centre is ( – 4, 7), then the other end isa)(8, – 12)b)(8, – 6)c)( – 12, 8)d)(8, 10)Correct answer is option 'C'. Can you explain this answer?
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