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

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

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

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 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 A and B such that PA:PB=1:2, then the equation of the director circle of the ellipse is

Let the line 2y=x+k is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(11)=1(a^(2)>11) which cuts its auxiliary circle at points A and B such that /_AOB=90^(@) If e is the eccentricity of ellipse,then value of 8e^(2) is (O is origin)

P and Q are corresponding points on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the auxiliary circle respectively . The normal at P to the elliopse meets CQ at R. where C is the centre of the ellipse Prove that CR = a +b

P and Q are corresponding points on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the auxiliary circle respectively . The normal at P to the elliopse meets CQ at R. where C is the centre of the ellipse Prove that CR = a +b