Q101. Unit matrix \(I = _{-----------}\).

Q102. Choose the correct answer for the \(I = \int_{0}^{\frac{\pi}{2}} (ln \: \cot \: x) \: dx\).

Q103. For a square matrix \(A\), if \(A^2 = A\) then such a matrix is known as \(_{-----------}\).

Q104. Choose the correct options for \(\int (\sqrt{x}+\frac{1}{\sqrt{x}})^2 dx\).

Q105. If the Mean and Median are 25, then find the mode.

Q106. If \(A = \begin{bmatrix} 1 & 0 \\ 9 & 4 \end{bmatrix}\), then \((adj \: A)A \) is \(_{---------}\)

Q107. Find the \(\frac{d}{dx} (ln \: \cos (x))\).

Q108. If \(log_2 (x^2-x) - log_2 (x-1) = 2\), find the value of \(x\).

Q109. \( \begin{bmatrix}2 & 5 \\ -4 & 3 \end{bmatrix} + \begin{bmatrix}2 & -5 \\ 4 & 1 \end{bmatrix} = _{------}\)

Q110. If \(log_{10} 2 = 0.3010 \quad \& \quad log_{10} 3 = 0.4771\), find the value of \(log_{10} 13.5\)