TEST( Fnctions, Matrices, Inverse trig and Calculus)

Given set A ={1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be

• reflexive if (1, 1) is added

• symmetric if (2, 3) is added

• transitive if (1, 1) is added

• symmetric if (3, 2) is added

Given a function lf as f(x) = 5x + 4, x ∈ R. If g : R → R is inverse of function ‘f then

• g(x) = 4x + 5

• 
• 
• g(x) = 5x – 4

Let A = {a, b }. Then number of one-one functions from A to A possible are

• 2

• 4

• 1

• 3

• -1

• 1

• π/2

• -π/4

Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is

• 6

• 36

• 32

• 64

• 
• 
• 
• 

• x = 0, y = 5

• x = y

• x + y = 5

• x – y = 5

If a matrix A is both symmetric and skew symmetric then matrix A is

• a scalar matrix

• a diagonal matrix

• a zero matrix of order n × n

• a rectangular matrix.

Let A be a square matrix of order 2 × 2, then |KA| is equal to

• K|A|

• K²|A|

• K³|A|

• 2K|A|

A and B are invertible matrices of the same order such that |(AB)^-1| = 8, If |A| = 2, then |B| is

• 16

• 4

• 6

• 1/16