Question

find the CO ordinates of a point A where AB is the diameter of a circle whose center is A (5.-2) B (2.3)​

Answer 1

Answer:

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Step-by-step explanation:

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)

Answer 2

Answer:

(3.5, 0.5)

Step-by-step explanation:

Mid point =( 5+2/2,-2+3/2)

=(7/2,1/2)

=(3.5, 0.5)