Question

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Answer 1

Answer:

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).

Step-by-step explanation:

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Answer 2

Answer:

A circle with center(-4,-6) and AB is the diameter of circle with A(-2,-5).

let(x,y) be the coordinate of B.

x coordinate of center=x-2/2

y coordinate of center=y-5/2

x-2/2=-4

y-5/2=-6

by solving both equations ,

the value of x= -6,y= -7

so the coordinates of B(-6,-7)