The least positive integral value of `lambda` for which `f(x)=(3x^(3))/(2)+(lambda x^(2))/(3)+x+7` has a point of maxima

The least positive integral value of lambda for which f(x)=(3)/(2)x^(3)+(lambda)/(3)x^(2)+x+7 has a points of extrema is

The value of a for which x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-2 has a + ve point of maxima

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

Find the value of lambda for which equation 3x^(4)-8x^(3)-6x^(2)+24x=lambda has

The number of integral values of lambda for which x^2+y^2+(1+lambda)x+(1-lambda)y+3=0 is the equation of circle whose radius cannot exceed '1' is ____

The value of (lambda, mu) for which (lambda - mu) x^3 - (lambda - 2) x^2 -3x +7=0 will have two infinite roots is

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

Find the range of lambda for which equation x^(3)+x^(2)-x-1-lambda=0 has 3 real solution.

The value of lambda for which the curve (7x+5)^(2)+(7y+3)^(2)=lambda^(2)(4x+3y-24)^(2) represents a parabola is

The number of distinct real values of lambda for which the lines (x-1)/(1)=(y-2)/(2)=(z+3)/(lambda^(2)) and (x-3)/(1)=(y-2)/(lambda^(2))=(z-1)/(2) are coplanar is