Statement 1 the condition on a and b for which two distinct chords of the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=2` passing through (a,-b) are bisected by the line x+y=b is `a^(2)+6ab-7b^(2)gt0`.
Statement 2 Equation of chord of the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` whose mid-point `(x_1,y_1)` is `T=S_1`

Answer

A, B, C, D