Q111. If the mean and the mode are given as 45 and 40. Find the Median.

Q112. Find the \(f^{'}(0), \: \) if\( \: f(x) = e^{3x}\).

Q113. If the sum of two matrices \(A\) and \(B\) is zero matrix, then \(A\) and \(B\) are said to be

Q114. Choose the correct option \(I = \int \frac{e^x - \: e^{-x}}{e^x+ \:e^{-x}} \: dx\).

Q115. If A, B and C matrices are of same order and (A + B) + C = A + (B + C), this law is known as

Q116. What is the derivative of the function \(f(x) = \sin^{-} x + \cos^{-} x\) with respect to \(x\)?

Q117. If \(x=p t^2 \: and \: y = \frac{q}{t} , \: then \: \frac{dy}{dx} = \)___, (where \(p, \: q, \: t \: \) are constant)

Q118. Which of the following is not the property of transpose of a matrix?

Q119. For a matrix \(A, \: B\) and identity matrix \(I\), if a matrix \(AB=I=BA\) then?

Q120. If determinant of a matrix \(A\) is Zero then \(_{-----------}\).