Sumali sa IDNStudy.com at simulang makuha ang maaasahang mga sagot. Sumali sa aming platform ng tanong at sagot upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

Find the equation of the circle
Center on the line y = x! tangent to the line y = 5, and has radius 2


Sagot :

let C(h,k)

Given:
 center is on line y = x
and 
tangent to the line y = 5
radius = 2 

from the figure attached

k = 5-2 = 3

center of the line is y=x
or k = h
h  = 3

C(3,3)

therefore, the equation of the line is,
(x-h)²+(y-k)²=r²

(x-3)²+(y-3)²=2²

for the general equation just expand the equation.
View image VilesX