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 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 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 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 point P (theta) on the ellipse x^2/a^2 + y^2/b^2 = 1 meets the axes of x and y at M and N respectively, show that PM : PN = b^2 : a^2 .