Arts (English Medium) Class 12 - CBSE Question Bank Solutions

If a matrix A is both symmetric and skew-symmetric, then

The matrix \[\begin{bmatrix}0 & 5 & - 7 \\ - 5 & 0 & 11 \\ 7 & - 11 & 0\end{bmatrix}\] is

If A is a square matrix, then AA is a

If A and B are symmetric matrices, then ABA is

If A = [a_ij] is a square matrix of even order such that a_ij = i² − j², then 

If \[A = \begin{bmatrix}2 & 0 & - 3 \\ 4 & 3 & 1 \\ - 5 & 7 & 2\end{bmatrix}\]  is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is  

If A and B are two matrices of order 3 × m and 3 × n respectively and m = n, then the order of 5A − 2B is 

If A and B are matrices of the same order, then AB^T − BA^T is a 

The matrix  \[A = \begin{bmatrix}0 & - 5 & 8 \\ 5 & 0 & 12 \\ - 8 & - 12 & 0\end{bmatrix}\] is a 

The matrix   \[A = \begin{bmatrix}1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{bmatrix}\] is

Differentiate the following functions from first principles e^−x.

Differentiate the following functions from first principles e^3x.

Differentiate the following functions from first principles e^ax+b.

Differentiate the following functions from first principles e^cos x.

Differentiate the following functions from first principles  \[e^\sqrt{2x}\].

Differentiate the following functions from first principles log cos x ?

​Differentiate the following function from first principles \[e^\sqrt{\cot x}\] .

Differentiate the following functions from first principles x²e^x ?

Differentiate the following functions from first principles log cosec x ?

Differentiate the following functions from first principles sin⁻¹ (2x + 3) ?