If the line joining the foci of the hyperbola `x^2/a^2-y^2/b^2+1=0` does not subtend a right angle at any point on the hyperbola whose eccentricity is e, then

The line segment joining the foci of the hyperbola x^(2)y^(2)+1=0 is one of thediameters of a circle.The equation of the circle is

Find the locus of the mid-point of the chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which subtends a right angle at the origin.

The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is one of thediameters of a circle. The equation of the circle is

A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), subtends a right angle at the center of the hyperbola if this chord touches. a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0, 0).

The line joining the foci F and F' of an ellipse subtend a right angle at the positive end B of the minor axis.If e is the eccentricity of the ellipse then the value of 2e^(2)+1 is equal to