Question

If one end of the diameter of the circle x2 + y2 - 4x - 6y + 11 = 0 is (3,4). Find the
co-ordinates of other end of the diameter.​

Answer 1

Answer:

first of all find centre and then find second end of diameter by mid point formula

Answer 2

Answer:

Equation of the given circle is x

2

+y

2

−4x−6y+11=0

Hence the centre of the circle is (2,3).

The coordinate of the point which lies on the circle is (3,4)

Let the coordinates of the point on the other end of the diameter be (x

1

,y

1

)

The coordinate of midpoint of these two points is (2,3)

x

1

=4−3

x

1

=1

2

y

1

+4

=3

y

1

=6−4

y

1

=2

Hence the coordinates of the point on the other end of the diameter is (1,2)