If `e` and `e'` be the eccentricities of two conics `S=0` and `S'=0` and if `e^(2)+e'^ (2)=3`, then both `S` and `S'` can be

If e_(1) and e_(2) are the eccentricities of two conics with e_(1)^(2) + e_(2)^(2) = 3 , then the conics are

If (3,4) and (5,12) are the foci of two conics both passing through origin, and the eccentricities of the conics are e_(1) and , e_(2) where e_(1)>e_(2) ,then (4e_(1))/(e_(2)) is equal to

If e_(1) is the eccentricity of the conic 9x^(2)+4y^(2)=36 and e_(2) is the eccentricity of the conic 9x^(2)-4y^(2)=36 then e12-e22=2 b.e22-e12=2c.2 3

Eccentricity of the conic represented by x=e+ e-a,y=ea-e-ais2/3

When the eccentricity 'e ' of a hyperbola S=0 lies between 1 and sqrt2 then the number of perpendicular tangents that can be drawn to the hyperbola is

Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2= 2. The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=[2sqrt2]/3.If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):

Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2= 2. The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=[2sqrt2]/3.If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):