If x, y, z are positive integers, such that xy + x + y = 215, yz + y + z = 161 and zx + z + x = 107, then (y – z)/(x – z) =

If x, y, z are positive integers, such that xy + x + y = 215, yz + y + z = 161 and zx + z + x = 107, then (y – z)/(x – z) =

The number of ordered triplets (x, y, z), such that x, y, z are distinct prime numbers and xy + yz + zx = 120 is

If  x + y + z  =  1, xy + yz + zx  =  −1  and  xyz  =  −1 , the value of  x3 + y3 + z3  = Select an answerA1B2C4D–1

Let Z be the set of all integers andA = {(x, y); x4 – y4 = 175, x, y ∈ Z}B = {(x, y); x > y, x, y ∈ Z}Then, the number of elements in A ∩ B is

Explain irrotational or solenoidal fields. Verify whether given vector field A isirrotational or solenoidal.A = (yz) ax + (zx) av + (xy) az