SOLUTION: Find the equaton of the circle with radius 6 and whose center lies at the intersection of the lines 3x+y=1 and -2x-3y=4

Algebra.Com
Question 941799: Find the equaton of the circle with radius 6 and whose center lies at the intersection of the lines 3x+y=1 and -2x-3y=4
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
equation of circle in standard form:
where center =(h,k) , radius =r
center lies at the intersection of the lines 3x+y=1 and -2x-3y=4
3x+y =1......eq(1)
-2x-3y =4........eq(2)
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-2. Since , x=1.

Answer: .

(x,y)=(1,-2)
center(h,l)= (1,-2)
equation circle becomes


Result :

RELATED QUESTIONS

find the equation of circle passing through the points of intersection of the lines x +... (answered by MathLover1)
find the equation of circle passing through the points of intersection of the lines x... (answered by Alan3354)
Find the point of intersection of the lines 3x+2y+17 and 2-3y+2 Find the radius and... (answered by solver91311)
Which of the following points lies on the circle whose center is at the origin and whose... (answered by MathLover1)
Find the equation of the circle with center on the point of intersection of the lines x + (answered by ikleyn)
The line 4x+3y=25 & 3x-4y=-7 are tangent to a circle. Connecting the center of the... (answered by htmentor)
Find the equation of a circle whose radius is 5 and the center lies on the positive side... (answered by ikleyn,MathTherapy)
A circle touches the x axis at the point P(-3,0) and its center C lies on the line... (answered by MathLover1,ikleyn,Alan3354)
find the equation of a circle whose center is at (2, -4) and radius... (answered by Alan3354)