SOLUTION: The circle x^2+y^2+2x-4y-11=0 and the line x-y+1=0 intersect at A and B. Find the equation of the circle having AB as diameter.
Algebra.Com
Question 1020926: The circle x^2+y^2+2x-4y-11=0 and the line x-y+1=0 intersect at A and B. Find the equation of the circle having AB as diameter.
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
Find the intersection points.
Find midpoint of these.
Find distance from that midpoint to either of the intersection points; this will be the radius.
Fit into the standard equation form of a circle.
-
-
or
meaning the intersections are at (-1-sqrt(6),-sqrt(6)) and (-1+sqrt(6),sqrt(6)).
Midpoint of those points:
and .
This means, the center of the asked-for circle will be (-1,0).
RADIUS will be
Put the information into standard form equation of a circle to finish the asked-for circle:
-
RELATED QUESTIONS
Please help me solve this problems:
1.A circle whose centre lies on the line y=3x-1,... (answered by Alan3354)
find the center and radius of the circle having equation... (answered by Edwin McCravy)
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)
for the equation x^2+y^2-2x-4y-11=0
a.) find the center (h,k) and radius r of the... (answered by josmiceli)
Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the... (answered by josgarithmetic,MathTherapy)
Write the general and standard form of the equation of the circle satisfying the given... (answered by Alan3354)
A circle is centered at (2,1) and tangent to the line x+y=0.
(a) find the equation of... (answered by MathLover1)
The equation x^2+y^2=169 defines a circle with its center at the origin and a radius of... (answered by rothauserc,ewatrrr)
If the equation of a circle is x^2+y^2-2x+4y-11=0 and the co-ordinate A (2, -1) is the... (answered by josgarithmetic)