Applied-Mathematics PYQ — Page 12

Let X & Y be 2 invertible square matrix, then which of the following is true (A) $(AB)^{-1} = A^{-1} B^{-1}$ (B) $(AB)^{-1} = B^{-1} A^{-1}$ (C) $(AB)' = A' B'$ (D) $(AB)' = B' A'$ Choose the answer from the options given below

the general solution of the differential equation $(1 + y) dx - 2x dy = 0$ is :

Solution for the inequality $|3x - 7| \leq 2$ is :

The area of the triangle with vertices $(1,4), (2,7)$ and $(4,13)$ is :

The interval in which where the function $f(x) = x^3 - 3x^2 + 4x + 1, x \in R$ is increasing in, is :

The least positive integer X satisfying $28 \equiv x (\mod 6)$ is :

The value of the integral $\int_{-3}^{3} (x^3 - x) dx$ is :

2 voices dice are thrown together. For the first die $P(6) = \frac{1}{2}$, other scores are equally likely. While for the second die $P(1) = \frac{2}{5}$ and other scores are equally likely than the Mean for the probability distribution of the number of one score will be