If normal at any poin P on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtbgt0)` meets the major and minor axes at Q and R, respectively, so that 3PQ=2PR, then find the eccentricity of ellipse

If normal at any point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtbgt0) meets the major and minor axes at Q and R, respectively, so that 3PQ=2PR, then find the eccentricity of ellipse

If a normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) meet the major and minor axes at M and N respectively, such that (P M)/(P N)=(2)/(3) , then the eccentricity =

If the normal at a point P on the ellipse (x^(2))/(144)+(y^(2))/(16)=1 cuts major and minor axes at Q and R respectively.Then PR:PQ is equal to

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 of the ellipse x^2/a^2 + y^2/b^2 = 1 meets the major and minor axes at G and E respectively, and if CF is perpendicular upon this normal from the centre C of the ellipse, show that PF.PG=b^2 and PF.PE=a^2 .

If the normal at any point P of the ellipse x^2/a^2 + y^2/b^2 = 1 meets the major and minor axes at G and E respectively, and if CF is perpendicular upon this normal from the centre C of the ellipse, show that PF.PG=b^2 and PF.PE=a^2 .

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: