If the equation `5[(x - 2)^2+(y-3)^2]=(lambda^2-2lambda+1)(2x+y-1)^2` represents an ellipse then

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

If the equation (5x-1)^(2)+(5y-2)^(2)=(lambda^(2)-2 lambda+1)(3x+4y-1)^(2) represents an ellipse,then find values of lambda

If the equation (10x-5)^(2)+(10y -4)^(2)=lambda^(2) (3x+4y-1)^(2) represents a hyperbola then

if the equation (10x-5)^(2)+(10y-4)^(2)=lambda^(2)(3x+4y-1)^(2) represents a hyperbola then

Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)^2 represents a parabola. Also, find its focus, the coordinates of its vertex, the equation of its latus rectum