Let `e_1`, and `e_2`, be the roots of the equation `x^2-lambdax+2=0` If `e_1` and `e_2`, are eccentricities of ellipse and hyperbola then `lambda` is equal to

Let e_(1), and e_(2), be the roots of the equation x^(2)-lambda x+2=0 If e_(1) and e_(2), are eccentricities of ellipse and hyperbola then lambda is equal to

If e_1 and e_2 be the eccentricities of two conjugate hyperbola, then 1/e_1^2+1/e_2^2 is :

If e1 and e2 are the eccentricities of a hyperbola and its conjugates then ,

If e_1 and e_2 are the eccentricities of a parabola and ellipse respectively, then:

Let the major axis of a standard ellipse equals the transverse axis of a standard hyperbola and their director circles have radius equal to 2R and R respectively. If e_(1) and e_(2) , are the eccentricities of the ellipse and hyperbola then the correct relation is

Let the major axis of a standard ellipse equals the transverse axis of a standard hyperbola and their director circles have radius equal to 2R and R respectively. If e_(1) and e_(2) , are the eccentricities of the ellipse and hyperbola then the correct relation is

The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the hyperbola (x^(2))/(A^(2))-(y^(2))/(B^(2))=1 are given to be confocal and length of mirror axis of the ellipse is same as the conjugate axis of the hyperbola. If e_1 and e_2 represents the eccentricities of ellipse and hyperbola respectively, then the value of e_(1)^(-2)+e_(1)^(-2) is

The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the hyperbola (x^(2))/(A^(2))-(y^(2))/(B^(2))=1 are given to be confocal and length of mirror axis of the ellipse is same as the conjugate axis of the hyperbola. If e_1 and e_2 represents the eccentricities of ellipse and hyperbola respectively, then the value of e_(1)^(-2)+e_(1)^(-2) is