IIIT Hyderabad Practice Quiz : Engineering Mathematics-1

The maximum value of the function f(x) = (3x⁴ – 2x³ – 6x² + 6x + 1) occurs

If 1, 2 and 3 are the eigen values of the matrix , then

Let the eigen values of matrix [A]_{2 × 2} are γ and δ,  then eigen values of

(A + 7I)^–1 are

Consider the system of equations given below:

x = cy + bz

y = az + cx

z = bx + ay

If the system is known to be infinite solution, then which of the following is true?

Suppose we have 2 bags. Bag 1 contains 3 black and 4 red marbles. Bag 2 contains 3 black and 6 red marbles. A person tosses a coin. If it shows head, he goes to bag 1, else bag 2 and draws a marble. If the marble drawn is black, then probability that it comes from bag 1 will be