Mathematics Tes...

A wire when bent in the form of a square encloses an area of 484 sq.cm. What will be the enclosed area when the same wire is bent into the form of a circle? (Take π = 22/7)

The number 251 in decimal system is expressed in binary system by :

What is the argument of the complex number$\frac{\left(1+i\right)\left(2+i\right)}{3-i}$where i =$\sqrt{-1}?$

Consider the following statement in respect of the matrix A =$\left[\begin{array}{ccc}0& 1& 2\\ -1& 0& -3\\ -2& 3& 0\end{array}\right]$

1. The matrix A is skew-symmetric

2. The matrix A is symmetric.

3. The matrix A is invertible.

Which of the above statements is/are correct?

Consider two matrices \(A=\left[\begin{array}{ll}1 & 2 \\ 2 & 1 \\ 1 & 1\end{array}\right]\) and \(B=\left[\begin{array}{ccc}1 & 2 & -4 \\ 2 & 1 & -4\end{array}\right]\)
Which one of the following is correct?

One of the roots of \(\left|\begin{array}{ccc}x+a & b & c \\ a & x+b & c \\ a & b & x+c\end{array}\right|=0\) is:

If A is any matrix, then the product AA is defined only when A is a matrix of order m × n where:

The determinant of an odd order skew symmetric matrix is always:

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant: