Question

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line containing the chord (put your answer in standard form.)

answer has to be in this format: x + ___ = ___

Answer 1

chord?

Answer 2

@jim_thompson5910 help

Answer 3

you mean passing through the center of the circle?

Answer 4

idont understand the question either

Answer 5

chords there are infinte number of them, but what they have in commun is, that they all go through the center

Answer 6

no, a chord that goes through the center is known as the diameter...but a chord doesn't have to go through the center.

Answer 7

a chord is simply a line segment that has endpoints on the circle

Answer 8

so then any line that cross circle is ok

Answer 9

maybe they want a chord that has the endpoints where the tangent points are?

Answer 10

so would it be x+ r=0

Answer 11

these instructions seem like they're missing something

Answer 12

no, wait....

Answer 13

i copied and now pasted it
:Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line containing the chord (put your answer in standard form.)

Answer 14

https://media.glynlyon.com/a_matgeo_2011/8/groupi89.gif

Answer 15

x + =

Answer 16

the x,y coordinates of the circle are positive and bounded by 2r

Answer 17

hmm like I said, something seems to be missing

If they want the chord that connects the tangent points, then the equation is

x+y = r

This is because you can solve for y to get

y = -x + r

And you'll see that it has a y-intercept of (0,r). This is one tangent point. Also, when you plug in y = 0 and solve for x, you get x = r

So it also has an x-intercept of (r,0), which is another tangent point.

Answer 18

But the issue is that it could be any chord really

Answer 19

ithink they just want x+y=r

Answer 20

just the first equation

Answer 21

maybe, but without clearer instructions, it's anyone's guess really

Answer 22

yeah.. could you help me with this last one =

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the slope of the line through the origin and the center.
(same picture above)
=slope=

Answer 23

The origin is the point (0,0)

The center is the point (r,r)

So you want to find the slope of the line through the points (0,0) and (r,r)

Answer 24

So...

m = (y2 - y1)/(x2-x1)

m = (r - 0)/(r - 0)

I'll let you finish this off

Answer 25

1 :)

Answer 26

you got it

Answer 27

thanks!!:D

Answer 28

yw