GATE 2020 Engg. Mathematics Rapid Mini Mock (App update required to attempt this test)

The characteristic equation of a matrix is given by:
A² - A + I = O
The value of A^-1 for the matrix is:

For the partial differential equation:

The correct statement is:

The order and degree of a differential equation

If the variance of the spot speed of vehicles in highway is 96.04 (kmph)² and mean speed of vehicles is 30 kmph the coefficient of variation in speed is

Consider the vector:

The  along the line joining the two points is:

The system of equations given below:
-2x + y + z = l
x - 2y + z = m
x + y - 2z = n
satisfy the condition that l + m + n = 0, then the given system of equations admits:

Using Euler’s method, find an approximate value of y corresponding to x = 0.4 given that
and y(0) = 1. Use a step size of 0.1.

What is the mean, variance and standard deviation of the number of heads in a simultaneous toss of three coins?

The root of the equation f (x) = 0 is found by using the Newton-Raphson method. The initial estimate of the root is x0 = 3, f (3) = 5. The angle the line tangent to the function f (x) makes at x = 3 is 57° with respect to the x-axis. The next estimate of the root, x1 most nearly is?

For a random variable x, follows normal distribution, the mean is . If the probability is . Then the probability is equal to

Using Green theorem, evaluate in the boundary described in a counter-clockwise direction with vertices (0, 0), (1, 0), (1, 1).