If `( lambda^(2) + lambda - 2)x^(2)+(lambda+2)x lt 1` for all ` x in R ` , then ` lambda ` belongs to the interval :

If -3lt(x^(2)-lambdax-2)/(x^(2)+x+1)lt2 for all x inR , then the value of lambda belongs to

If -3lt(x^(2)-lambdax-2)/(x^(2)+x+1)lt2 for all x inR , then the value of lambda belongs to

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If the two roots of the equation (lambda-1)(x^(2)+x+1)^(2)-(lambda+1)(x^(4)+x^(2)+1)=0 are real and distin then lambda lies in the interval

lim_(x rarr1)sec^(-1)((lambda^(2))/(ln x)-(lambda^(2))/(x-1)) exists then lambda belong to

Consider a set of all the lines (2 + lambda)x - (3 + 2lambda)y + (1 + lambda) = 0, lambda in R , then equation of the line which belongs to this set & farthest from origin is :

Consider a set of all the lines (2 + lambda)x - (3 + 2lambda)y + (1 + lambda) = 0, lambda in R , then equation of the line which belongs to this set & farthest from origin is :

If sin x cos x cos 2x = lambda has a solution, then lambda lies in the interval

If sin x cos x cos 2x = lambda has a solution, then lambda lies in the interval