If x + 1/x = 2, then find the value of x2 + 1/x2.

If \(\frac{A}{B}\; + \;\frac{B}{A}\; = \;1,\) then find A3 + B3.

If x = a + 1/a and y = a – 1/a then √(x4 + y4 – 2x2y2) is equal to:

If (8, 2) is a solution of x + 4y - 2k = 0, then find the value of k2.

If x4 + x-4 = 194, x > 0, then the value of \(x+\dfrac{1}{x}\) is:

If the sum of square of the age of a person today, after one year and after two years is equal to 2030. What is the present age of the person.

Every diagonal element of a skew-symmetric matrix is

Forces 3î + 2ĵ + 5k̂ and 2î + ĵ - 3k̂ are acting on a particle and displace it from the point 2î - ĵ - 3k̂ to the point 4î - 3ĵ + 7k̂. The work done by the force is:

If 3x2 + 6x – 17 = 0, then (x + 1)2 is equal to ______.

A complete factorisation of x4 + 64 is:

If x = 23, find the value of x8 - 24x7 + 24x6 - 24x5 + 24x4 - 24x3 + 24x2 - 24x + 1.

α and β are the roots of the quadratic equation. If α + β = 8 and α - β = 2√5, then which of the following equation will have roots α4 and β4?

If 3, 5 are the eigenvalues of a square matrix A of order 2, then the eigenvalues of the matix A3 will be

After solving the system2x1 + 4x2 - 6x3 = - 8x1 + 3x2 + x3 = 10 and2x1 - 4x2 - 2x3 = - 12Using the Gauss-Jordan method, the values of x1, x2 and x3 are

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 – 3abc)/(ab + bc + ca – a2 – b2 – c2).A. 15B. 17C. -17D. -15