Question

If AB is diameter of circle C(O) where coordinates of A and B are (5, 6) and (3,-2) respectively, then find
the coordinates of O.
​

Answer 1

Answer:

Find the coordinate of a point A, where AB is the diameter of a circle whose centre is (2,-3) and B is (1,4)

Easy

Solution

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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).

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Answer 2

Answer:

yaar dang se to dedo answer