If matrix A= [a_ ij ]_ 2 2' where a_ij= 1,&if i 0,&if i =j , then A^2 is equal to:

If matrix A= [a_ ij ]_ 2 2' where a_ij= 1,&if i 0,&if i =j , then…

$\int {\frac{{x\,\,dx}}{{{x^2} + 4x + 5}} = } $

→

Let $f$ be any function defined on $R$ and let it satisfy the condition

$|f( x )-f( y )| \leq\left|( x - y )^{2}\right|, \forall( x , y ) \in R$ If $f(0)=1,$ then

→

Let $\lambda \in R .$ The system of linear equations

$2 x_{1}-4 x_{2}+\lambda x_{3}=1$

$x_{1}-6 x_{2}+x_{3}=2$

$\lambda x_{1}-10 x_{2}+4 x_{3}=3$ is inconsistent for

→

Let $A$ be a nonsingular square matrix of order $3 \times 3$. Then $|\text{adj.} \ A|$ is equal to:

→

Choose the correct answers from the given four options : If $x=t^2, y=t^3$, then $\frac{\text{d}^2\text{y}}{\text{dx}^2}$ is :

→

If $n(A) = m$, then total number of reflexive relations that can be defined on $A$ is-

→

Which of the following function is surjective but not injective

→

For binary operation $\times$ defind on $R – \{1\}$ such that $\text{a}\times\text{b}=\frac{\text{a}}{\text{b}+1}$ is:

→

Let $\text{A}=\begin{bmatrix}\text{a}&0&0\\0&\text{a}&0\\0&0&\text{a}\end{bmatrix},$ then $A^n$ is equal to:

→

The function $f(x)=x^9+3 x^7+64$ is increasing on :

→