The length of the axis of the conic 9 x^2+4 y^2-6 x+4 y+1=0 are

Step-by-step solution

Given that equation of conic is aligned & array l 9 x^2+4 y^2-6 x+4 y+1=0 9 x^2-6 x+4 y^2+4 y+1=0 9 (x- 1 3 )^2+4 (y+ 1 2 )^2=1 or, (x- 1 3 )^2 1 9 + (y+ 1 2 )^2 1 4 =1 array . aligned Comparing it with standard equation of ellipse X^2 a^2 + Y^2 b^2 =1 , we get a= 1 3 , b= 1 2 Length of major axis =2 b=2 1 2 =1 and length of minor axis =2 a=2 1 3 = 2 3