Question

Q1-PQ is a diameter of a circle. If P(6, 3) and Q(4, 3), then the center of the circle is

please explain properly ​

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:

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Answer 2

Answer:

(5,3)

Step-by-step explanation:

(X1,Y1)= (4,3)

(X2,Y2)=. (6,3)

centre X = (6+4)/2 = 5

Y = (3+3)/2 = 3