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.`

Let f(x) =|(x,1,1), (sin2pix, 2x^2,1), (x^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.

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

int_(2)^(4) (3x^(2)+1)/((x^(2)-1)^(3))dx = (lambda)/(n^(2)) where lambda, n in N and gcd(lambda,n) = 1 , then find the value of lambda + n

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

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

Find the value of lambda the equation is 2x+3y+lambda where x=2 and y=1

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

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