Embibe Experts Solutions for Exercise 6: Assignment

The graph of the function $y=f\left(x\right)$ is symmetrical about$x=5$, then

Let $R$ be a relation defined on set $A=\{1,2,3,4,5,6\}$ then total number of possible reflexive relations on set $A$ is equal to $2^{\lambda }$ then $\lambda$ is

The range of function $f\left(x\right)=sgn\left(\sin x\right)+sgn\left(\cos x\right)+sgn\left(\tan x\right),x\ne \frac{(2n+1)\pi }{2},n\in I$ contain integers $a_1,a_2,a_3,a_4,\dots$ Then $a_1^2+a_2^2+a_3^2+\dots$ is equal to

Let $A$ consists $5$ different elements and set $B$ consists $4$ different elements. Number of mapping which can be defined from set $A$ to set $B$ which are surjective, is

If the equation $|x-1|-|x-13|=k$ has exactly one solution, then number of integral values of $k$, is

Let $g\left(x\right)={\sin }^2\left(\ln x\right)+{\cos }^2\left(\ln x\right)$ then sum of least integral value of domain of $g\left(x\right)$and the integral values in range of $g\left(x\right)$ is equal to

Let $f\left(x\right)=\max .\left\{x^2,(1-x{)}^2,2x(1-x)\right\}$, where $0\le x\le 1$ then $f\left(\frac{1}{5}\right)+f\left(\frac{1}{2}\right)+f\left(\frac{1}{\sqrt{2}}\right)$ is equal to

The range of $f\left(x\right)=\sqrt{x-1}+2\sqrt{3-x}$ is $[a, b]$ then $a^2+b^2$ is equal to