The sum of all the values of `lambda` for which the set `{(x, y):x^(2)+y^(2)-6x+4y=12}nn{(x, y): 4x+3y lambda}` contains exactly one element is

The value of 'c' for which the set {(x,y)|x^(2)+y^(2)+2x<=1}nn{(x,y)|x-y+c<=0} contains only one point in common is

The values of lambda for which the system of euations x+y+z=6x+2y+3z=10 x+2y+lambdaz=12 is inconsistent

The set of all values of lambda for which the systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.

For what value of lambda, does the line 3x+4y=lambda touch the circle x^(2)+y^(2)=10x

The value of lambda for which the lines 3x+4y=5,5x+4y=4 and 2x+4y=6 meet at a point is

Let [lambda] be the greatest integer less than or equal to lambda . The set of all values of lambda for which the system of linear equations x +y+z=4, 3x+2y+5z=3, 9x+4y + (28+[lambda])z=[lambda] has a solution is :

The value of lambda for which the circle x^(2)+y^(2)+2lambdax+6y+1=0 intersects the circle x^(2)+y^(2)+4x+2y=0 orthogonally, is

The set of all values of lambda for which the system of linear equations: x-2y-2z=lambda x,x+2y+z=lambda y and -x-y=lambda z has a non-trivial solution: (a) is an empty sheet (b) is a singleton (c) contains more than two elements (d) contains exactly two elements

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

The sum of possible value of lambda for which the system of equations (lambda+1)x+8y=4 lambda and lambda x+(lambda+3)y=3 lambda-1 is inconsistent is