The values of `lamda` for which the circle `x^(2)+y^(2)+6x+5+lamda(x^(2)+y^(2)-8x+7)=0` dwindles into a point are

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

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

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

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

The value of lamda for which the equation (10 x -5) ^(2) + (10y-15) ^(2) =lamda^(2)(5x + 12 y +7) ^(2) represents a parabola is

If lamda_1, lamda_2 (lambda_1 > lambda_2) are two values of lambda for which the expression f(x,y) = x^2 + lambdaxy +y^2 - 5 x - 7y + 6 can be resolved as a product of two linear factors, then the value of 3lamda_1 + 2lamda_2 is

If lamda_1, lamda_2 (lambda_1 > lambda_2) are two values of lambda for which the expression f(x,y) = x^2 + lambdaxy +y^2 - 5 x - 7y + 6 can be resolved as a product of two linear factors, then the value of 3lamda_1 + 2lamda_2 is