Question

find the equation to the circles which touch the axes of coordinates at their positive sides and also touch the line 2x+2y=6

Answer 1

Answer:

2x+y=6-2

2x+y=4

x+y=4-2

x+y=2

Answer 2

Step-by-step explanation:

let the centre be (h,k)

as cicle touches both axes so

h= k

center lies on line x- 2y = 3

so h-2h = 3 or h = -3= k

so centre is (-3,-3)

radius =h=k= -3 so equation of reuired circle is

(x+ 3)^2 + (y+3)^2 = (-3)^2 or x^2 + y^2 + 6x + 6y + 9 =0 ans