Mathematics Quiz

If A =[aij] is a skew-symmetric matrix of order n, then

• aij = 1 for all i,j

• aij ≠ 0 for all i,j

• aij = 0, where i=j

• aij ≠ 0 where i=j

If A is a square matrix of order 3, |A'| =−3, then |AA'| =

• 9

• -9

• 3

• -3

The area of a triangle with vertices A, B, C is given by

• |AB × AC|

• 1/2 |AB × AC|

• 1/3 |AC × AB|

• 1/4 |AC × AB|

The value of ‘k’ for which the function f(x) = { 1-x^2, if x≠0; k, if x=0 } is continuous at x = 0 is

• 0

• -1

• 1

• 2

If f'(x) = x + 1/x, then f(x) is

• x^2 + log |x| + C

• x^2/2 + log |x| + C

• x/2 + log |x| + C

• x/2 - log |x| + C

If m and n, respectively, are the order and the degree of the differential equation

d/dx [(dy/dx)]^4= 0,, then m + n =

• 1

• 2

• 3

• 4

The solution set of the inequality 3x + 5y < 4 is

• an open half-plane not containing the origin.

• an open half-plane containing the origin.

• the whole XY-plane not containing the line 3x + 5y = 4.

• a closed half plane containing the origin.

The scalar projection of the vector 3i - j - 2k on the vector i + 2j - 3k is

• 7/(14)^-2

• 7/14

• 6/13

• 7/2

• log4

• log(2/3)

• 1/2 log2

• log(5/3)

If A, B are non-singular square matrices of the same order, then (AB^-1)^-1 =

• A^-1B

• A^-1B^-1

• B^-1A

• AB