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

Let f(x,y) = {(x,y): y^(2) le 4x,0 le x le lambda} and s(lambda) is area such that (S(lambda))/(S(4)) = (2)/(5) . Find the value of lambda .

If the lines x - 2y - 6 = 0 , 3x + y - 4=0 and lambda x +4y + lambda^(2) = 0 are concurrent , then value of lambda is

If x(sgn x)(sgn x)+|x|(sgnx)^(3)=lambda x^(mu), then the value of lambda+mu is:

Let f(x,y)={(x,y):y^(2)<=4x,0<=x<=lambda} and s(lambda) is area such that (S(lambda))/(S(4))=(2)/(5). Find the value of lambda

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation alpha/beta + beta/alpha = 4/3 . then find the value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))

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 the area bounded by the curves y=-x^(2)+6x-5 , y=-x^(2)+4x-3 and the line y=3x-15 is (73)/(lambda) where x>=1 then the value of lambda is _______________

If the area bounded by the curves y=-x^(2)+6x-5 , y=-x^(2)+4x-3 and the line y=3x-15 is (73)/(lambda) where x>=1 then the value of lambda is _______________