[x+lambda,x,x],[x,x+lambda,x],[x,x,x+lambda]

|[x+lambda, 2x, 2x], [2x, x+lambda, 2x], [2x, 2x, x+lambda]| =(5x+ lambda)(lambda-x)^(2)

The roots of det[[x,a,b,1lambda,x,b,1lambda,mu,x,1lambda,mu,v,1]]=0 are

If f(x)=|(x,lambda),(2lambda,x)| , then f(lambdax)-f(x) is equal to

Given below. Is the distribution of a random variable X {:(X =x,1,2,3,4),("p(X=x)",lambda,2 lambda,3 lambda,4 lambda):} If alpha = P (X lt 3) and beta = P (X gt 2) , "then" alpha : beta=

" Consider "P(x)=x^(2)-2 lambda x+2 lambda^(2)-4 lambda,lambda in R" then minimum value of "P(x)" is "

Let f be a real valued function such that for any real x, f(lambda+x)=f(lambda-x) and f(2lambda+x)=f(2lambda-x) for some lambda>0 . Then

Let f(x)={(5^(1//x)"," , x lt 0),(lambda[x]",",x ge0):} and lambda in R , then at x = 0

Let f(x)={(5^(1//x)"," , x lt 0),(lambda[x]",",x ge0):} and lambda in R , then at x = 0

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

A system of equations lambda x+y+z=1,x+lambda y+z=lambda,x+y+lambda z=lambda^(2) have no solution then value of lambda is