- #1

Physiona

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OP warned about not using the homework template

I'm requiring help on a circle geometry question I've done.

The line L, has equation of y=0, and intersects the circle with (3,0) and radius of 29. Find the points of intersection.

My working out:

29

It's centre is 3,0,

Inserting that in circle equation gives (x-3)

Solving simultaneously,

(X-3)

y=0 (2)

Sub (2) into (1)

(X-3)

x

x

x

(X+26)(x-32)=0

X

I'm stuck on what to do after this, I think I use process of elimination, however I'm not sure on the equation of y=0, as its confusing me with the zero and no other coefficients. Can someone help?

Thank you.

The line L, has equation of y=0, and intersects the circle with (3,0) and radius of 29. Find the points of intersection.

My working out:

29

^{2}= 841It's centre is 3,0,

Inserting that in circle equation gives (x-3)

^{2}+y^{2}= 841Solving simultaneously,

(X-3)

^{2}+ y^{2}= 841 (1)y=0 (2)

Sub (2) into (1)

(X-3)

^{2}+ 0^{2}= 841x

^{2}-6x + 9 = 841x

^{2}-6x+9-841=0x

^{2}-6x-832=0(X+26)(x-32)=0

X

_{1}= -26 and x_{2}= 32I'm stuck on what to do after this, I think I use process of elimination, however I'm not sure on the equation of y=0, as its confusing me with the zero and no other coefficients. Can someone help?

Thank you.