SOLUTION: Find the equation of the circle concentric with the circle x*2+y*2- 6x+ 2y- 11 = 0 and passing through the centre of the circle x*2+y*2= 16.

SOLUTION: Find the equation of the circle concentric with the circle x2+y2- 6x+ 2y- 11 = 0 and passing through the centre of the circle x2+y2= 16.

Question 1126986: Find the equation of the circle concentric with the circle
x*2+y*2- 6x+ 2y- 11 = 0 and passing through the centre of the circle
x*2+y*2= 16.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
rewrite the first as
x^2-6x+y^2+2y=11
complete the square
x^2-6x+9+y^2+2y+1=21
(x-3)^2+(y+1)^2=21
first circle has center at (3, -1) and radius sqrt (21)
The circle concentric with this has center (3, -1) and passes through the origin, since the center of x^2+y^2=16 is a circle with center (0, 0) and radius 4
The radius of the second circle is the distance from the center to the origin, which is sqrt (10).
Its equation is (x-3)^2+(y+1)^2=10 ANSWER

RELATED QUESTIONS
Find the equation of each circle described. Passes through the origin and is... (answered by Alan3354,solver91311)

find an equation of the circle passing through A(-3,1) with radius 2 and centre at... (answered by josgarithmetic)

Find the equation of the circle that passes through A(-3,1) and is concentric the circle... (answered by richwmiller)

A circle passes through the centre of a circle X^2 + Y^2 - 3X - 4Y - 1 = 0 and it's... (answered by KMST)

The centre of a circle passing through the points(0,0) , (1,0) and touching the circle... (answered by ikleyn,KMST)

Find the equation of the circle (in general form) tangent to the line 4x + 5y = 7 and... (answered by ikleyn)

find the equation of the circle concentric with the circle x^2+y^2-4x+6y-17=0 which has a (answered by ikleyn,Alan3354)

Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching (answered by Alan3354)

find the radius and centre of a circle with equation... (answered by Edwin McCravy)