" (i) "(x-3)^(2)+(y-1)^(2)=9

Find the eccentricity of the conic 4(2y-x-3)^(2)-9(2x+y-1)^(2)=80

Consider two circles S_1=x^2+(y-1)^2=9 and S_2=(x-3)^2+(y-1)^2=9 , now for these circles match the following :

The ellipse ((x+3)^(2))/(16)+(y^(2))/(9)=1 is translated to the right along the x -axis by a distance of k units.The equation in the new position is ((x-3)^(2))/(16)+(y^(2))/(9)=1 then the value of k is

If equation of hyperbola is 4(2y -x -3)^(2) -9(2x + y - 1)^(2) = 80 , then

If equation of hyperbola is 4(2y -x -3)^(2) -9(2x + y - 1)^(2) = 80 , then

The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

If the lines (x-1)/(k)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(2y-9)/(2k)=(z)/(1) intersect, then find the value of k