Question

plz answer....... if the points A (4,3 )and b (x ,5)are on the circle with Centre O (2,4) find the value of x.

Answer 1

Answer:

points A(4,3)

points B (X,5)

CENTER O (2,4)

value of x, =?

first need to calculate the distance between points A and points O,

root((4-2)^2)+(3-4)^2)

root(4+1)

root(5)

distance between points A and O is 2.23 units,

the distance between points B and points O,

root((x-2)^2)+(5-4)^2)=2

root((x-2)^2)+1)=2----> A

taking square on both side of equation A,

(x-2)^2=4-1

(x-2)^2=3 ----->B

now taking root on both side of equation B,

x-2=1.732

x=3.732 units

value of x is 3.732 units