Q.23. Find the coordinates of a point A, where AB is the diameter of circle whose centre is (2, - 3)
and B is (1,4).
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Q.23. Find the coordinates of a point A, where AB is the diameter of circle whose centre is (2, - 3)
and B is (1,4).
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Answer:
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Answer:
Given:-
A circle with centre (2,−3) and AB is the diameter of circle with B(1,4).
To find:- Coordinate of point A.
Let (x,y) be the coordinate of A.
Since AB is the diameter of the circle, the centre will be the mid-point of AB.
now, as centre is the mid-point of AB.
x-coordinate of centre = 2/x+1
y-coordinate of centre = 2/y+4
But given that centre of circle is (2,−3).
Therefore,
2/x+1 =2⇒x=3
2/y+4=−3⇒y=−10
Thus the coordinate of A is (3,−10).
Hence the correct answer is (3,−10).