1. Find the equation of the circle concentric
...(x2+ y2 - 4x - 6y - 3 = 0 and which touches the y-axis.
with
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4
Answer:
x^2 + y^2 - 4x - 6y + 9 = 0
Step-by-step explanation:
x^2+ y^2- 4x -6y-3 = 0
touches y-axis
then eq^n of circle
(x-h)^2 + (y-k)^2 = h^2
2g = -4 , g= -2
2f = -6 , f= -3
centre of circle
(-g , -f) ,(2, 3)
touches y axis
then centre of circle is (h,k) = (2,3) eq^n (x-h)^2 + (y-k)^2 = h^2
(x-2)^2 + (y-3)^2 = 2^2
x^2 - 4x +4 +y^2 - 6y + 9 = 4
x^2 + y^2 - 4x - 6y +9 = 0
final ans x^2+y^2-4x-6y+9=0
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3
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