If normal at any point P to the ellipse `x^2/a^2+y^2/b^2=1(a > b)` meets the axes at A and B such that `PA:PB = 1:2,` then the equation of the director circle of the ellipse is

If normal at any point P to ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1(a > b) meet the x & y axes at A and B respectively. Such that (PA)/(PB) = 3/4 , then eccentricity of the ellipse is:

If normal at any point P to ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1(a > b) meet the x & y axes at A and B respectively. Such that (PA)/(PB) = 3/4 , then eccentricity of the ellipse is:

If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets the axes at G and g respectively, then find the ratio PG:Pg .

If normal at any point P to the ellipse +(x^(2))/(a^(2))+(y^(2))/(b^(2))=1,a>b meets the axes at M and N so that (PM)/(PN)=(2)/(3), then value of eccentricity e is

The normal at a point P on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1(a gt b) meets the axis in M and N so that (PM)/(PN)=2/3 . Then the value of eccentricity is

If the normal at any point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meets the axes in G and g respectively. Find the ratio PG : Pg

If the normal at any given point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 meets its auxiliary circlet at Q and R such that angleQOR = 90^(@) , where O is the centre of the ellispe, then