Determinants Quiz

If x = -4 is a root of 2 3 11 3 2 x x x = 0, then find the other two roots.

• -6

• 3

• -3

• 6

The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be

• 6

• 9

• 3

• -9

The determinant 2 2 2 bab b cbc ac ab aa b bab bc acc a ab a equals

• None of these

• (a+b+c)(b-c)(c-a)(a-b)

• (b-c)(c-a)(a-b)

• abc

The number of distinct real roots of sin(cos(x) + sin(x)) = 0 in the interval -π ≤ x ≤ π is

• 3

• 0

• 2

• 1

If A is a matrix of order 3 × 3, then |3A| = _______ .

• 9

• 27

• 3

• 81