The eccentricity of an ellipse whose pair of a conjugate diameter are `y=x` and `3y =-2x` is (A) `2/3` (B) `1/3` (C) `1/sqrt3` (D) none

The eccentricity of an ellipse whose pair of a conjugate diameter are y=x and 3y=-2x is (A) (2)/(3)(B)(1)/(3)(C)(1)/(sqrt(3)) (D) none

The eccentricity of an ellipse whose chords y=x and 3y=-2x are such that each bisects the chords parallel to the other,is

Find the eccentricity of the ellipse if y=x and 3y+2x=0 are the equations of a pair of its conjugate diameters.

Area common to the curves y=sqrt(x) and x=sqrt(y) is (A) 1 (B) 2/3 (C) 1/3 (D) none of these

The eccentricity of the ellipse 5x^(2)+9y^(2)=1 is 2/3 b.3/4 c.4/5 d.1/2

In a Delta ABC if A=(1,2) and the internal angle bisectors through B and C are y=x and y=-2x. The inradius r of Delta ABC is (A) 1/sqrt3 (B) 1/sqrt2 (C) 2/3 (D) none of these

The eccentricity of the conjugate hyperbola of the hyperbola x^(2)-3y^(2)=1 is 2(b)2sqrt(3)(c)4 (d) (4)/(5)