Find the condition on `aa n db` for which two distinct chords of the hyperbola `(x^2)/(2a^2)-(y^2)/(2b^2)=1` passing through `(a , b)` are bisected by the line `x+y=b` .

Find the condition on a and b for which two distinct chords of the hyperbola (x^2)/(2a^2)-(y^2)/(2b^2)=1 passing through (a , b) are bisected by the line x+y=b .

Find the condition on a and b for which two distinct chords of the hyperbola (x^(2))/(2a^(2))-(y^(2))/(2b^(2))=1 passing through (a,b) are bisected by the line x+y=b .

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

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

Find the condition on a,b,c such that two chords of the circle x^(2)+y^(2)-2ax-2by+a^(2)+b^(2)-c^(2)=0 passing through the point (a,b+c) are bisected by the line y=x

If the set of 'K' for which two distinct chords of the ellipse (x^(2))/8+(y^(2))/2=1 passing through (2,-1) are bisected by the line x+y=K is [a,b] then (a+b) is…………

If the set of 'K' for which two distinct chords of the ellipse (x^(2))/8+(y^(2))/2=1 passing through (2,-1) are bisected by the line x+y=K is [a,b] then (a+b) is…………

Find the condition on a, b, c such that two chords of the circle x^2 + y^2 - 2ax - 2by+a^2 +b^2-c^2 = 0 passing through the point (a, b + c) are bisected by the line y = x.