Match each homogeneous function in List I with its degree in List II.

Match each homogeneous function in List I with…

Question 25

MediumOriginal question

Match each homogeneous function in List I with its degree in List II.

List I	List II
A. $x^{3} - 2 x y^{2}$	I. $\frac{1}{2}$
B. $\frac{x^{2} - y^{2}}{x^{2} + y^{2}}$	II. $3$
C. $\sqrt{x} + \sqrt{y}$	III. $-2$
D. $\frac{1}{x^{2} + y^{2}}$	IV. $0$

A-IV, B-II, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-III, D-ICorrect answerYour answerA-II, B-IV, C-I, D-IIICorrect answerYour answerA-IV, B-II, C-III, D-ICorrect answerYour answer

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CorrectNot quiteAnswer C

Correct answer: C

A: every term has degree 3. B: top and bottom both have degree 2, so the degree is $2 - 2 = 0$ .
C: $\sqrt{\lambda x} = \lambda^{1/2}\sqrt{x}$ , degree $\frac{1}{2}$ . D: $\frac{1}{\lambda^{2}(x^{2} + y^{2})}$ , degree $-2$ .

Concept: The degree of a homogeneous function
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsHomogeneous equations

Practise this chapter →

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.

Practise this chapter →

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.

Question 25

Explanation