If the length of latusrectum of ellipse `E_(1):4(x+y+1)^(2)+2(x-y+3)^(2)=8` and `E_(2)=(x^2)/(p)+(y^2)/(p^2)=1, (0ltplt1)` are equal , then area of ellipse `E_(2)`, is

the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/(49)=1 , is

the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/(49)=1 , is

the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/(49)=1 , is

The length of the major axis of the ellipse 2x^(2)+y^(2)-8x-2y+1=0 is

Area of quadrilateral formed by common tangents to ellipses E_(1):(x^(2))/(16)+(y^(2))/(9)=1 and E_(2):(x^(2))/(9)+(y^(2))/(16)=1 is

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

Let the equation of two ellipse be E_1:( x^(2))/( 3)+ ( y^(2))/( 2) =1 and E_2 :(x^(2))/( 16) + ( y^(2))/(b^(2)) =1 If the product of their eccentricities is 1/2 , then the length of the minor axis of E_2 is

Let the equations of two ellipses be E_(1)=(x^(2))/(3)+(y^(2))/(2)=1 and (x^(2))/(16)+(y^(2))/(b^(2))=1. If the product of their eccentricities is (1)/(2), then the length of the minor axis of ellipse E_(2) is

If e_(1) and e_(2) are respectively the eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 , then the relation between e_(1) and e_(2) , is

If the ecentricity of the ellipse (x^(2))/( a^(2) +1) +(y^(2))/(a^(2)+2) =1 be (1)/(sqrt6) then length of the latusrectum of the ellipse is