If `f(x)=(ax^2+2(a+1)x+9a+4)/((-a)x^2+(-3+2a)x-a)` is always negative and the range of values of `a` is `a in (lambda/4,oo),` then find value of `lambda.`

If x=a cos nt-b sin nt and (d^(2)x)/(dt^(2))=lambda x then find the value of lambda.

" The function "f(x)=(a+2)x^(3)-3ax^(2)+9ax-1" is always decreasing "AA x in R" .Then the range of "a" is "

Let f(x)=det[[x,1,1sin2 pi x,2x^(2),1x^(3),3x^(4),1]]. If f(x) be an odd function and its odd values is equal g(x) then find the value of lambda. If f(1)g(1)=-4 lambda

If x - lambda is a factor of x^(4)-lambda x^(3)+2x+6 . Then the value of lambda is

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^(2)=|x|

Letf(x)={x+lambda,x =1 if lim_(x rarr1)f(x) exist,then find value of lambda

If f(x)={(x^(2)+5x+lambda)/(x^(2)-1),x!=1,(7)/(2),x=1 is continuous at x=1, then find the value of lambda