The value of `lambda` for which the curve `(7x + 5)^2 + (7y + 3)^2 = lambda^2 (4x + 3y-24)^2` represents a parabola is

The values of lambda for which the curve (7 x + 5)^(2) + (7y + 3 )^(2) = lambda ^(2) (4x + 3y - 24 )^(2) represents a parabola is _

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

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

Number of integral values of lambda for which x^2 + y^2 + 7x + (1-lambda)y + 5 = 0 represents the equation of a circle whose radius cannot exceed 5 is

If the equation lambdax^2+ 4xy + y^2 + lambdax + 3y + 2 = 0 represent a parabola then find lambda .

If lambda_(1),lambda_(2)(lambda_(1)>lambda_(2)) are two values of lambda for which the expression f(x,y)=x^(2)+lambda xy+y^(2)-5x-7y+6 can be resolved as a product of two linear factors, then the value of 3 lambda_(1)+2 lambda_(2) is