If z = x + iy is a complex number such that iz = 2 + 3i, then the value of x − y is

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

If 2^(x−1) + 2^(x+1) = 1280, then the value of x²+9x is

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

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ <n < 10¹¹, The number of different values for n is

If a, b, c, d, e and f satisfy 2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f)?