Question

If AB is a diameter of a circle with centre O. find point B if A and O are (4, -1) and (1, -3) respectively
a) (2, -5)
b) (-2, 5)
c) (-2, -5)
d) (2, 5) ​

Answer 1

Answer:

Centre =P(−2,0)

Diameter has A(2,−3) on one end and B(x,y) on the other.

The centre point P divides AB in two equal parts.

So, using the midpoint formula,

−2=

2

2+x

⇒−4=2+x

⇒x=−6

And also,

0=

2

−3+y

⇒0=−3+y

⇒y=3

(x,y)=(−6,3)

Answer 2

Answer:

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