Math, asked by rockstarsourav007, 8 months ago

if the equation of a circle is ax^2+(2a-3) y^2-4x+6y-1=0 then the coordinates of center are​

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Answered by naveenvermaverma5
2

ax2 + 2hxy +  by2 + 2g x + 2fy + c = 0 is represent a circle 2h = 0 and a = b.   If ax2 + (2a - 3)y2 - 4x + 6y - 1=0 is the equation of the circle   Here  a = 2a - 3  a = 3   Then 3x2 + 3y2 - 4x + 6y - 1 = 0   x2 + y2 - 4 x/ 3 + 6y / 3 - 1 / 3 = 0   Center = ( -g / a , -f / a)   Center = ( 2 / 3 ,-1)

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