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

Show that the eccentricities of the hyperbolas x^2/16-y^2/9=1 and x^2/64-y^2/36=1 are equal.

Area bounded by the ellipse : x^2/16 + y^2/9 = 1 is :

Show that the eccentricities of the two hyperbolas x^2/16-y^2/9=1 and x^2/64-y^2/36=1 are equal.

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

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