Home
Class 12
MATHS
Let L denotes the number of subjective f...

Let L denotes the number of subjective functions `f : A -> B`, where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function `f(x) = sec^-1(sgmx) + cosec^-1(sgn x)` where `sg n x` denotes signum function of x. And N denotes coefficient of `t^5` in `(1+t^2)^5(1+t^3)^8`. The value of `(LM+N)` is `lambda`, then the value of `lambda/19` is

Promotional Banner

Similar Questions

Explore conceptually related problems

The range of f(x)= 3^(-|x|)-3^(x)+sgn(e^(-x))+2 (where sgn x denotes signum function of x )

Let f:R to R be defined by f(x) = 5^(-|x|) - 5^(x) + sgn (e^(-x)) + 4 where sgn (x) denotes the signum function of x. Then

The range of the function f(x)=log[sec^(-1)(x^(2)+2x+3)] , where [.] denotes G.I.F.

Find the number of elements contained in the range of the function f (x) = [(x )/(6)][(-6)/(x)]AAx in (0,30)] where [.] denotes greatest integer function)

Find the number of elements contained in the range of the function f (x) = [(x )/(6)][(-6)/(x)]AAx in (0,30)] where [.] denotes greatest integer function)

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/9]+cos^(-1) [x^(2)-4/9] where where [.] denotes the greatest integer function is:

The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/9]+cos^(-1) [x^(2)-4/9] where where [.] denotes the greatest integer function is: