If `x/a+y/b=sqrt(2)` touches the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` , then find the eccentric angle `theta` of point of contact.

If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then fin the ecentric angle theta of point of contact

If (sqrt(3))bx+ay=2ab touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then the eccentric angle of the point of contact is (pi)/(6)(b)(pi)/(4)(c)(pi)/(3)(d)(pi)/(2)

Does the straight line (x)/(a)+(y)/(b)=2 touch the ellipse ((x)/(a))^(2)+((y)/(b))^(2)=2? If it touches, find the coordinates of the point of contact.

Find the locus of the point of intersection of the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) if the difference of the eccentric angles of their points of contact is 2 alpha.

If x+y sqrt(2)=2sqrt(2) is a tangent to the ellipse x^(2)+2y^(2)=4 ,then the eccentric angle of the point of contact is

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

If hyperbola (x^(2))/(b^(2))-(y^(2))/(a^(2))=1 passes through the focus of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then find the eccentricity of hyperbola.

If the line 3x+4y=sqrt(7) touches the ellipse 3x^(2)+4y^(2)=1, then the point of contact is