CBSE Class 10 Answered
The coordinates of a point A, where AB is diameter of a circle whose center is (2,3) and B is (1,4)?
(a) (3,-10)
(b) (-3,10)
(c) (1,-10)
(d) none of these
Asked by ashleshathakur124 | 10 Feb, 2020, 21:36: PM
Centre of a circle is a mid - point of a diameter.
Let the coordinate of a point A be (x, y).
![begin mathsize 16px style rightwards double arrow fraction numerator straight x space plus space 1 over denominator 2 end fraction equals space 2 space and space fraction numerator straight y space plus space 4 over denominator 2 end fraction space equals space 3
rightwards double arrow straight x plus space 1 space equals space 4 space and space straight y space plus space 4 space equals space 6
rightwards double arrow straight x space equals space 3 space and space straight y space equals space 2 end style](https://images.topperlearning.com/topper/tinymce/cache/c32e5baeb9233538409d968a5440691d.png)
Therefore, the coordinate of a point A is (3, 2).
Correct Option: D
Answered by Yasmeen Khan | 11 Feb, 2020, 11:11: AM
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