If the hyperbola `xy=4` and ellipse`(x^2)/8+(y^2)/(a^2)=1` have a commone tangent, then

If the hyperbola xy=8 and ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 have a comman tangent,then (A) |b|>=4(B)0 =6

Consider the hyperbola (x^(2))/(9)-(y^(2))/(a^(2))=1 and the circle x^(2)+(y-3)=9 . Also, the given hyperbola and the ellipse (x^(2))/(41)+(y^(2))/(16)=1 are orthogonal to each other. Combined equation of pair of common tangents between the hyperbola and the circle is given be:

Consider the hyperbola (X^(2))/(9)-(y^(2))/(a^(2))=1 and the circle x^(2)+(y-3)=9 . Also, the given hyperbola and the ellipse (x^(2))/(41)+(y^(2))/(16)=1 are orthogonal to each other. Combined equation of pair of common tangents between the hyperbola and the circle is given be

The equation of the common tangents of the parabolas y^(2)=4x and an ellipse (x^(2))/(4)+(y^(2))/(3)=1 are

Consider the parabola y^(2)=20x, ellipse (x^(2))/(16)+(y^(2))/(9)=1 and hyperbola (x^(2))/(29)-(y^(2))/(4)=1 The equation common tangent to all of them, is

The ellipse (x^(2))/(25)+(y^(2))/(16)=1 and the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 have in common

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is