The values of `lamda` for which the line y=x+`lamda` touches the ellipse `9x^(2)+16y^(2)=144` , are

The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at

If the line y=2x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

Area of the ellipse x^(2)/9+y^(2)/4=1 is

For what value of lambda does the line y=2x+lambda touches the hyperbola 16x^(2)-9y^(2)=144 ?

If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144 , then c =

If the values of m for which the line y= mx +2sqrt5 touches the hyperbola 16x^2 — 9y^2 =144 are the roots of the equation x^2 -(a +b)x-4 = 0 , then the value of a+b is

If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, then a value of lambda is

The value of m for which the line y=m x+2 becomes a tangent to the hyperbola 4 x^(2)-9 y^(2)=36 is

For what value of lamda will the line y=2x+lamda be tangent to the circle x^(2)+y^(2)=5 ?

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is