If a tangent to the ellipse `x^2/a^2+y^2/b^2=1`, whose centre is C, meets the major and the minor axes at P and Q respectively then `a^2/(CP^2)+b^2/(CQ^2)` is equal to

The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor axes in P and Q respectively, then a^(2)//CP^(2)+b^(2)//CQ^(2)=

The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor axes in P and Q respectively, then a^(2)//CP^(2)+b^(2)//CQ^(2)=

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 any point P on the ellipse x^2/a^2 + y^2/b^2 = 1 cuts the major and minor axes in L and M respectively and if C is the centre, then a^2 CL^2 + b^2 CM^2 = (A) (a-b) (B) (a^2 - b^2) (C) (a+b) (D) (a^2 + b^2)

If the normal at any point P on the ellipse x^2/a^2 + y^2/b^2 = 1 cuts the major and minor axes in L and M respectively and if C is the centre of the ellipse , then a^2\ CL^2 + b^2\ CM^2 is equal to (A) (a-b) (B) (a^2 - b^2)^2 (C) (a+b) (D) (a^2 + b^2)

If the normal at any point P on the ellipse x^2/a^2 + y^2/b^2 = 1 cuts the major and minor axes in L and M respectively and if C is the centre of the ellipse , then a^2\ CL^2 + b^2\ CM^2 is equal to (A) (a-b) (B) (a^2 - b^2)^2 (C) (a+b) (D) (a^2 + b^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 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 a tangent to the ellipse meets major and minor axis at M and N respectively and C is the centre of the ellipse thejn (a^(2))/(CM)^(2)+(b^(2))/(CN)^(2) =