Question

Which of the following is not a homogeneous function of x and y?

Options

• y² − xy

• x − 3y

• `sin^2  y/x + y/x`

• tan x − sec y

Answer 1

tan x − sec y

Explanation:

tan x − sec y is not a homogeneous function because it is not expressed as a function of the ratio y/x (or x/y); instead, x and y appear separately inside the trigonometric functions.