SOLUTION: Two circles x^2+y^2=11 and (x-3)^2+y^2=2 intersect at two points. P and Q. Find the exact length of the line segment PQ.

Algebra.Com
Question 315555: Two circles x^2+y^2=11 and (x-3)^2+y^2=2 intersect at two points. P and Q. Find the exact length of the line segment PQ.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Solve for the intersection points.


.
.
.






Now solve for y




Points P and Q are (,) and (,).
The length of PQ is .

RELATED QUESTIONS

The two straight lines 3y + 2x - 7 = 0 and 2 y = x - 7 intersect at the point P. Q is the (answered by mananth)
In the xy-plane, the parabola with equation y = –(x + 3)2 intersects the line with... (answered by josgarithmetic)
the line x+3y=20 intersect the circle x'2+y'2-6x-8y=0 at the points P and Q. Find the... (answered by Edwin McCravy,Theo)
Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4) If M (6, 1) is the... (answered by stanbon)
the straight line x-y-6=0 cut the curve y^2=8x at p and q. calculate the length of... (answered by Alan3354)
Find the equation of circle with PQ as diameter if the line y = x/2 intersects ellipse... (answered by ikleyn)
3) show that if A-B-C and B-C-D,then A-B-D and A-C-D 4)Given aline m with coordinate... (answered by 90089)
Show that the line x + y = q will intersect the curve x^2 - 2x + 2y^2 = 3 in two distinct (answered by MathLover1)
can you please help me solve these problems on parabolas and circles? Thanks 1.Find the... (answered by lwsshak3)