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` .

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…………

Find the equation of that diameter which bisects the chord 7x+y-2=0 of the hyperbola (x^(2))/(3)-(y^(2))/(7)=1 .

If two distinct chords of the parabola y ^(2) = 4ax, passing through (a, 2a) are bisected on the line x + y=1, then length of the latus-rectum can be

If two distinct chords of a parabola y^2=4ax , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be

Find the condition that line lx + my - n = 0 will be a normal to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 .

If two distinct chords of a parabola y^(2)=4ax , passing through (a, 2a) are bisected on the line x + y = 1, then length of the latus-rectum can be