Question

Write the Equation of the circle tangent to the lins x+y+4=0 and 7x-y +4=0 and having its center on the line 4x+3y-2=0. Draw the figure

Answer 1

@perl

Answer 2

@Michele_Laino

Answer 3

lets graph these equations first

Answer 4

ok

Answer 5

i dont know how to graph this

Answer 6

you can first solve for y

Answer 7

all the 3 equation?

Answer 8

but we already have the graph, so we don't need to graph it.

Answer 9

now lets try to find a circle that is tangent to the two lines and has center through that green line

Answer 10

that means there is a point (x,y) on the green line that is the same distance to the blue and red lines

Answer 11

so what can we do to solve this?