Write the equation for a circle with the following characteristics:
-the center is on the line whose equation is 3y+12=2x
-is tangent to both the x and y axis

Only an algebraic solution will be accepted

Question

Write the equation for a circle with the following characteristics:
-the center is on the line whose equation is 3y+12=2x
-is tangent to both the x and y axis

Only an algebraic solution will be accepted

jacksonjrb · Answer

y=2/3x-4 is the standard form of the equation for the line

welshfella · Answer

so the circle passes though the points (0,y1) and (x1,0) and its centre is at ( (2/3x2 - 4, y2)

jacksonjrb · Answer

i graphed the line and it crosses through points (0,6) and (-4,0)

jacksonjrb · Answer

that means the center is (-3,2) i believe. i dont know how to do that algebraically though

welshfella · Answer

right and the radius is also equal to  y2

jacksonjrb · Answer

how could i show this algebraically

welshfella · Answer

( x  - (2/3 x2 - 4)^2 + (y - r)^2 = r^2

welshfella · Answer

this is an interesting one but i haven't got my head around it yet. Unfortunately i have to go right now. sorry

jacksonjrb · Answer

ok thanks

welshfella · Answer

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