All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Chapter-wise Tests for JEE Main & Advanced  >  Test: JEE Advanced (One or More Correct Option)- Differential Equations - JEE MCQ

Test: JEE Advanced (One or More Correct Option)- Differential Equations - JEE MCQ


Test Description

9 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - Test: JEE Advanced (One or More Correct Option)- Differential Equations

Test: JEE Advanced (One or More Correct Option)- Differential Equations for JEE 2024 is part of Chapter-wise Tests for JEE Main & Advanced preparation. The Test: JEE Advanced (One or More Correct Option)- Differential Equations questions and answers have been prepared according to the JEE exam syllabus.The Test: JEE Advanced (One or More Correct Option)- Differential Equations MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: JEE Advanced (One or More Correct Option)- Differential Equations below.
Solutions of Test: JEE Advanced (One or More Correct Option)- Differential Equations questions in English are available as part of our Chapter-wise Tests for JEE Main & Advanced for JEE & Test: JEE Advanced (One or More Correct Option)- Differential Equations solutions in Hindi for Chapter-wise Tests for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: JEE Advanced (One or More Correct Option)- Differential Equations | 9 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Chapter-wise Tests for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 1
Save

The order of the differential equation whose general solution is given by

y = (C1 + C2) cos (x+C3) – C4ex+C5,  where C1, C2, C3, C4, C5, are arbitrary constants, is

Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 1

The given solution of D.E. is

[Taking c1 + c2 = A,c4 ec5 = B] Thus, there are actually three arbitrary constants and hence this differential equation should be of order 3.

*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 2
Save

The differential equation representing the family of curves  where c is a positive parameter, is of

Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 2

2 yy1 =2c ⇒ c = yy1
Eliminating, c, we get,

It involves only Ist order derivative, its order is 1 but its degree is 3 as y13 is there.

1 Crore+ students have signed up on EduRev. Have you? Download the App
*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 3
Save

A curve y = f (x) passes through (1, 1) and at P(x, y), tangent cuts the x–axis and y–axis at A and B respectively such that BP : AP = 3 : 1, then

Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 3

Tangent to the curve y = f (x) at (x, y) is





∴ cur ve is x3y = 1 , which also passes through

*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 4
Save

If y (x) satisfies the differential equation y ' – y tan x = 2x secx and y(0) = 0, then
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 4

The given differential equation is



*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 5
Save

A curve passes through the point  Let the slope of the curve at each point (x, y) be 

Then the equation of the curve is
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 5




*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 6
Save

Let y (x) be a solution of the differential equation (1 + ex) y ' + yex = 1 . If y(0) = 2, then which of the following statement is (are) true?
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 6





Its solution will be intersection point of y = x + 3 and y = e–x​

Clearly there is a critical point in (–1, 0).

*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 7
Save

Consider the family of all circles whose centers lie on the straight line y = x. If this family of circle is represented by the differential equation Py '' + Qy' + 1=0 , where P, Q are functions of x, y and y'    then which of the following statements is (are) true?
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 7

Let the equation of circle be x2 + y2 + 2gx + 2gy + c = 0
⇒ 2x + 2yy' + 2g + 2gy' = 0
⇒ x + yy' + g + gy' = 0          ...(i)

Differentiating again, 

Substituting value of g in eqn. (i)

*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 8
Save

 be a differentiable function such that   for all x ∈ (0, ∞) and f(1) ≠ 1. Then
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 8




*Multiple options can be correct
Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 9
Save

A solution curve of the differen tial equation  passes through thepoint (1, 3). Then the solution curve
Detailed Solution for Test: JEE Advanced (One or More Correct Option)- Differential Equations - Question 9

 




As it passes through (1, 3) ⇒ C  = –1 – log 3

         ..(1)

Intersection of (1) and y = x + 2 

∴ (1, 3) is the only intersection point.
Intersection of (1) and y = (x + 2)2

446 docs|930 tests
Join Course
Information about Test: JEE Advanced (One or More Correct Option)- Differential Equations Page
In this test you can find the Exam questions for Test: JEE Advanced (One or More Correct Option)- Differential Equations solved & explained in the simplest way possible. Besides giving Questions and answers for Test: JEE Advanced (One or More Correct Option)- Differential Equations, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for JEE Advanced (One or More Correct Option)- Differential Equations

Find all the important questions for JEE Advanced (One or More Correct Option)- Differential Equations at EduRev.Get fully prepared for JEE Advanced (One or More Correct Option)- Differential Equations with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the JEE Advanced (One or More Correct Option)- Differential Equations syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of JEE Advanced (One or More Correct Option)- Differential Equations resources.

JEE Advanced (One or More Correct Option)- Differential Equations MCQs with Answers

Prepare for the JEE Advanced (One or More Correct Option)- Differential Equations within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for JEE Advanced (One or More Correct Option)- Differential Equations Chapter-wise Tests for JEE Main & Advanced

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace JEE Advanced (One or More Correct Option)- Differential Equations with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup