SOLUTION: Write the general and standard form of the equation of the circle satisfying the given conditions.
With center (2, -1) and radius 3
With center (-4, 5) and passing through (2,
Algebra.Com
Question 1028984: Write the general and standard form of the equation of the circle satisfying the given conditions.
With center (2, -1) and radius 3
With center (-4, 5) and passing through (2, 1)
Having the points (-1, -1) and ( 3, 4 ) as ends of the diameter
Center at ( 4, 1 ) and touching the y- axis
With center at (-2, -1 ) and tangent to the line 4x-3y = 12
Passing through ( 1,2), (2,3) and (-2, 1)
Passing through (4, 6), (-2,-2) and (-4, 2)
Tangent to the line 3x- 4y - 5 = 0 at (3,1) and passing through ( -3, -1)
Inscribed in a triangle with sides on the lines x – 3y = -5, 3x + y = 1 and 3x – y = -11.
Find the general equation of the tangent to the circle
(x - 〖3)〗^2 + (y - 〖5)〗^2 = 64 at point ( 3, 3 )
x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )
x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )
x^2 + y^2 – 6x – 4y - 28 = 0 parallel to the line 4x + 5y = 8
x^2 + y^2 – 4y – 9 = 0 through ( 5 , -1 )
x^2 + y^2 – 6x – 2y + 5 = 0 through ( -3, 6 )
For each pair of equations of circles, find the general equation of the radical axis
x^2 + y^2 – 14y + 40 = 0 and x^2 + y^2 = 4
x^2 + y^2 – 14x – 12y + 65 = 0 and x^2 + y^2 – 6x – 4y + 3 = 0
x^2 + y^2 – 12x + 14y + 60 = 0 and x^2 + y^2 + 6x + 4y - 3 = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's not likely anyone will do all these. It might take a day or 2, but it will scroll off the 1st page and be gone.
----
Write the general and standard form of the equation of the circle satisfying the given conditions.
With center (2, -1) and radius 3
A circle or radius r with its center at (h,k) is (x-h)^2 + (y-k)^2 = r^2
----------
With center (-4, 5) and passing through (2, 1)
Having the points (-1, -1) and ( 3, 4 ) as ends of the diameter
Find the midpoint, that's the center. r = 1/2 the distance between the 2 points. Then it's the same as the 1st problem.
-----------
Center at ( 4, 1 ) and touching the y- axis
It's 4 units from the y-axis --> r = 4
----------------
With center at (-2, -1 ) and tangent to the line 4x-3y = 12
Passing through ( 1,2), (2,3) and (-2, 1)
Passing through (4, 6), (-2,-2) and (-4, 2)
Tangent to the line 3x- 4y - 5 = 0 at (3,1) and passing through ( -3, -1)
Inscribed in a triangle with sides on the lines x – 3y = -5, 3x + y = 1 and 3x – y = -11.
Find the general equation of the tangent to the circle
(x - 〖3)〗^2 + (y - 〖5)〗^2 = 64 at point ( 3, 3 )
x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )
x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )
x^2 + y^2 – 6x – 4y - 28 = 0 parallel to the line 4x + 5y = 8
x^2 + y^2 – 4y – 9 = 0 through ( 5 , -1 )
x^2 + y^2 – 6x – 2y + 5 = 0 through ( -3, 6 )
For each pair of equations of circles, find the general equation of the radical axis
x^2 + y^2 – 14y + 40 = 0 and x^2 + y^2 = 4
x^2 + y^2 – 14x – 12y + 65 = 0 and x^2 + y^2 – 6x – 4y + 3 = 0
x^2 + y^2 – 12x + 14y + 60 = 0 and x^2 + y^2 + 6x + 4y - 3 = 0
=============
PS Don't put spaces in the (x,y) points.
RELATED QUESTIONS
write an equation in standard form of the line satisfying the given conditions: passes... (answered by mukhopadhyay)
Find the equation of the circle satisfying the given conditions (general equation)
1.... (answered by Alan3354)
TOPIC: CIRCLES DETERMINED BY THREE CONDITIONS
Write the equation (standard and general (answered by richwmiller)
Write an equation in standard form of a circle with the given center and radius.
center... (answered by ewatrrr)
Write an equation in standard form of a circle with the given center and radius. center... (answered by Fombitz)
Write the standard form of the equation and the general form of the equation of the... (answered by Boreal)
Write the standard form of the equation of the circle with the given center (-2,-4) and... (answered by Theo)
Write in general form the equation of the circle given center (4,-1) and radius 10.... (answered by scott8148)
write the standard form of the equation of the circle with the given center
(-2, -4) and (answered by funmath)
write the standard form of the equation of the circle with the given center (-2,-4) and... (answered by Fombitz)