[" If "4x-3y=sqrt(3)" is a tangent to "4x^(2)-9y^(2)=1" then the eccentric "],[" angle of the point of contact is "]

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 x+y =2 is a tangent to x^(2)+y^(2)=2 , then the equation of the tangent at the same point of contact to the circle x^(2)+y^(2)= 3x + 3y -4 is :

If x+y =2 is a tangent to x^(2)+y^(2)=2 , then the equation of the tangent at the same point of contact to the circle x^(2)+y^(2)= 3x + 3y -4 is :

If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the eccentric angle of the point is

Show that the line 3x+ sqrt3y =12 is a tangent to the ellipse 9x^(2) +y^(2) = 36 . Find the coordinates of the point of contact.

Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentric angle pi//6 is

Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentric angle pi//6 is

Determine whether the line x + 3y sqrt(2)= 9 is a tangent to the ellipse x^(2)//9 + y^(2)//4 = 1 . If so, find the co-ordinates of the pt of contact.

A tangent to y^(2)=5x is parallel to the line y=4x+1 .Then the point of contact is

Determine whether the line x+3sqrt2*y=9 is a tangent too the ellipse x^2/9+y^2/4=1 . If so, find co-ordinates of the points of contact.