Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Match List I with List II

LIST I LIST II
A. $\left(\frac{dy}{dx}\right)^2+\frac{dy}{dx}+5=0$ I. order 3, degree 1
B. $xy\frac{d^2y}{dx^2}+x\left(\frac{dy}{dx}\right)^2-y\frac{dy}{dx}=0$ II. order 2, degree 2
C. $\left(\frac{d^2y}{dx^2}\right)^2+\frac{dy}{dx}=0$ III. order 2, degree 1
D. $\frac{d^3y}{dx^3}+2\frac{d^2y}{dx^2}+\frac{dy}{dx}=0$ IV. order 1, degree 2

Choose the correct answer from the options given below :

Options:

A-I, B-II, C-IV, D-III

A-III, B-IV, C-I, D-II

A-IV, B-III, C-II, D-I

A-II, B-I, C-III, D-IV

Correct Answer:

A-IV, B-III, C-II, D-I

Explanation:

The correct answer is Option (3) → A-IV, B-III, C-II, D-I

(A) → order 1, degree 2 (IV)

(B) → order 2, degree 1 (III)

(C) → order 2, degree 2 (II)

(D) → order 3, degree 1 (I)