Statement 1: Two ellipses `x^2/(16)+y^2/9=1` and `x^2/9+y^2/(16)=1` are congruent. Statement 2: `x^2/(16)+y^2/9=1` and `x^2/9+y^2/(16)=1` have same eccentricity

Statement 1: Two ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 are congruent.Statement 2:(x^(2))/(16)+(y^(2))/(16)=1 and (x^(2))/(9)+(y^(2))/(16)=1 have same eccentricity

9x^(2)-16y^(2)

A common tangent to 9x^(2) - 16y^(2) = 144 and x^(2) + y^(2) = 9 is

If the eccentricity of the ellipse x^2/25+y^2/a^2=1 and x^2/a^2+y^2/16=1 is same, then the value of a^2 is :

A common tangent to 9x^(2)-16y^(2)=144 and x^(2)+y^(2)=9, is

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