Question

One of the end point of circle having center (2,−3) is (4,−1),then the other end point of

diameter lie on .........

(a) X-axis (b) Y-axis (c) I-quadrant (d) II-quadrant
​

Answer 1

Answer: Let AB be a diameter of the circle having its centre at C(1, -3) such that the coordinates of one end A are (4, -1).

Let the coordinates of B  be (x,y).

Since C is the mid-point of AB. Therefore,the coordinates of C are(  

2

x+4

​  

,  

2

y−1

​  

).

But, the coordinates of C are given to be (1,-3).

∴  

2

x+4

​  

=1and  

2

y−1

​  

=−3

⇒x+4=2andy−1=−6

⇒x=−2andy=−5

Hence,the coordinates of B are (-2, -5).

Step-by-step explanation: PLEASE MAKE ME THE BRAINLEIST