If the equation `x ^2+2(lambda+1)x+lambda^2+lambda+7=0` has only negative roots, then the least value of `lambda` equals__________.

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If the equations 4x^(2)-x-1=0 and 3x^(2)+(lambda+mu)x+lambda-mu=0 have a root common, then the rational values of lambda and mu are

If the equation 3x^(3)+2x^(2)-5x+lambda=0 ,has two distinct and real roots in [0,1] ,then the values lambda can take are

If the equation 4x^(2)-x-1=0 and 3x^(2)+(lambda+mu)x+lambda-mu=0 have a root common,then he rational values of lambda and mu are lambda=(-3)/(4) b.lambda=0 c.mu=(3)/(4) b.mu=0

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

If alpha, beta are the roots of x^2 – 3x + lambda = 0 (lambda in R) and alpha < 1

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

If f(x)=lambda|sin x|+lambda^(2)|cos x|+g(lambda) has a period =(pi)/(2) then find the value of lambda

The value of lambda for which the equation 2x^(2)-2(2 lambda+1)x+lambda(lambda+1)=0 may have one root less than lambda and other root greater than lambda are given by