Question

really tough question, help plz

Answer 1

What is the equation of the biggest circle that can be drawn, that touches the Y-axis, the X-axis, and another line that has the function y=x+6

Answer 2

let the point (x,y) and x=y
the distance from the point to the line should be equal to value of x(or y because x=y)
x+6=y is x-y+6=0, which a=1, b=-1, c=6
\[d=\left| ax+by+c \right|/\sqrt{x ^{2}+y ^{2}}\]
and d=x
so
\[\left| x-x+6 \right|/\sqrt{x ^{2}+x ^{2}}=x\]
that is \[3\sqrt{2}=x ^{2}\]
\[x=\sqrt{3\sqrt{2}}\]

Answer 3

the circle should tangent to x-axis,y-axis and the line

Answer 4

so the center of circle should has the same distance to x-axis,y-axis and the line

Answer 5

so the point center (x,y) should be x=y

Answer 6

@zscdragon
got it?

Answer 7

im thinking..

Answer 8

are u chinese?

Answer 9

i got this as the equation of the circle..
\[\large (x-3\sqrt{2})^2+(y-3\sqrt{2})^2=18 \]