Q141. A system of equations is consistent if \(_{--------------}\)

Q142. If \(A^2 -A -I =0\), then \(A^{-1} = _{---------------}\).

Q143. Find the correct answer for: \(I = \int \frac{ \sin (ln \: x)}{x} \: dx\)

Q144. In matrices \((AB)^{-1}\) equals to \(_{-------}\)

Q145. The given system of equation has \(_{--------------}\)
\(4x+2y=7\)
\(6x+3y=9 \)

Q146. Let \(A\) be a nilpotent matrix of order \(n\) then?

Q147. Let \(A_{a\times b}\) and \(B_{c\times d}\) be two matrices, then for AB is possible if \(_{-----------}\).

Q148. Find the correct option for \(\int \sin^4 x \:\cos x \: dx\)

Q149. The cost of \(8kg\) potato and \(3kg\) tomato is Rs \(70\). The cost of \(10kg\) potato and \(5kg\) tomato is \(90\). Find the cost of each item if \(x\) is the cost of potato per kg and \(y\) is the cost of tomato per kg.

Q150. If \(9^{log9(x^2-4x+5)} = x -1 \) then find the value of \(x\).