Show that the line `4x-3y=9` touches the hyperbola `4x^2-9y^2=27`

The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

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

For what value of lamda, the line y=2x+ lamda touches the hyperbola 9x^(2)-5y^(2)=45 ?

The straight line x+y=sqrt(2)P will touch the hyperbola 4x^(2)-9y^(2)=36 if (a) p^(2)=2(b)p^(2)=5(c)5p^(2)=2

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

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

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are