Question

1. The coordinates of one end point of a diameter AB of a circle are (3, 4) and the coordinates of its centre are (-1,0). Find the coordinates of the other end of diameter.
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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:

Answer 2

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