If the equation `x^2+(lambda+mu)x y+lambdau y^2+x+muy=0` represents two parallel straight lines, then prove that `lambda=mudot`

If lambda x^(2)+6xy+9y^(2)+4x+12y+3=0 represents a pair of straight lines then lambda

If the equation lambdax^2+2y^2-5xy+5x-7y+3=0 represents two straight lines , then the value of lambda will be

If the equation lambda x^(2)+4xy+y^(2)+lambda x+3y+2=0 represent a parabola then find lambda

If the equation 12x^(2)-10xy+2y^(2)+11x-5y+lambda=0 represents a pair of straight lines then the value of 221 lambda^(2)+361 lambda+582 is equal to

if lambda x^2+10xy+3y^2-15x-21y+18=0 represents a pair of straight lines. Then , the value of lambda is

If the equation x^(2)+y^(2)+6x-2y+(lambda^(2)+3lambda+12)=0 represent a circle. Then

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

Equation (2 + lambda)x^2-2 lambdaxy+(lambda -1)y^2-4x-2=0 represents a hyperbola if

The value of lambda for which the equation x^(2)-y^(2)-x-lambda y-2=0 represent a pair of straight line,are

If the equation x^(2)+y^(2)+2 lambda x+4=0 and x^(2)+y^(2)-4 lambda y+8=0 represent real circles then the valueof lambda can be