If (2x + 3y + 1) + `lambda` ( x - 2y - 3) = 0 represents the equation of a horizontal line , then find the value of `lambda` .

If lambda x^(2) + 4xy + y^(2) + lambda x + 3y + 2 = 0 represents the equation of the parabola , then the vlaue of lambda is _

If x^2-3xy+lambda y^2+3x-5y+2=0 ,represent a pair of straight lines, then the value of lambda is

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

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

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) - 2x+2y+lambda =0 represents a degenerate conic then find the value of lambda .

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

Find lambda so that x^(2) + 5xy + 4y^(2) + 3x + 2y + lambda = 0 may represent a pair of straight lines. Find also the angle between them for this value of a lambda

If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circle, then the value of lambda . lies in