If ω (ω ≠ 1) be a cube root of unity and (ω + 1)^8 = a + bω, then a.b equals

If sin A = 5/13, then tan A equals

If x^3 – y^3 = 117/8 and x – y = 3/2 then the value of x^2 + xy + y^2 will be

If x + 1/x = k and x² + 1/x² = k, then values of k are

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

If the product of the roots of the equation 3kx^2 - 25kx + k + 8 = 0 is 3, then k is