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 :

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

The locus of the point of intersection of the tangents drawn to the ellipse (x^(2))/(4)+y^(2)=1 if the difference of the eccentric angle of their contanct is (2pi)/(3) is

" If "x+y+7=0" is a tangent to the circle "x^(2)+y^(2)-4x-6y+k=0" then 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

The line 3x+5y-15sqrt(2) is a tangent to the ellipse (x^(2))/(25)+(y^(2))/(9)=1 at a point whose eccentric angle is

Find the equation of the normal to the hyperbola 4x^(2) - 9y^(2) = 144 at the point whose eccentric angle theta is pi//3