Mathematics Tes...

If the complete set of values of 'x' satisfying the inequality  (where a,b,c ∈ N), then value of a + b + c is

The value of λ for which the system of equations sinx cosy = 2λ – 4 & siny cosx = 1 – λ have solutions -

Let A be matrix of order 3 × 3 such that 
|A| = 1, let B = 2A^–1, C=   then the value |AB²C³| is

If a and b ∈ R and satisfy the relation 4a² + 3b² – 4ab – 4b + 2 < 0 then value of determinant  is equal to -

3sinβ + 4cosβ, then value of  y can be equal to -

Let A and B be two square matrices of order 3 then which of the following statements is/are correct -

Consider the following system of equations 

        αx + y + z = m

        x + αy + z = n

        x + y + αz = p

then which of the following statement is/are correct -

Which option is correct 

Let Z = X^–1–I (where I is an identity matrix), then