All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mock Tests for JEE Main and Advanced 2025  >  JEE Main Maths Test- 5 - JEE MCQ

JEE Main Maths Test- 5 - JEE MCQ


Test Description

25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Main Maths Test- 5

JEE Main Maths Test- 5 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Main Maths Test- 5 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 5 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 5 below.
Solutions of JEE Main Maths Test- 5 questions in English are available as part of our Mock Tests for JEE Main and Advanced 2025 for JEE & JEE Main Maths Test- 5 solutions in Hindi for Mock Tests for JEE Main and Advanced 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Main Maths Test- 5 | 25 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mock Tests for JEE Main and Advanced 2025 for JEE Exam | Download free PDF with solutions
JEE Main Maths Test- 5 - Question 1
Save

The differential equation of all circles which pass through the origin and whose centres lie on y-axis is

Detailed Solution for JEE Main Maths Test- 5 - Question 1
Toolbox:
Equation of a family of circles in (x−h)^2+(y−k)^2=a^2 where (h,k) are the centers and a is the radius.
If the given equation has 'n' arbitary constants, then the given equation will be of h order

We are asked to form the differential equations of all circles which pass through the orgin and whose centers lies on y-axis
Since it is given that the center lies on the y-axis, the sketch of the circle is as shown


JEE Main Maths Test- 5 - Question 2
Save

If  , then solution of above equation is 

1 Crore+ students have signed up on EduRev. Have you? Download the App
JEE Main Maths Test- 5 - Question 3
Save

Order and degree of differential equation

 are

JEE Main Maths Test- 5 - Question 4
Save

Differential equation for y = A cos αx + B sin αx where A and B are arbitrary constants is
JEE Main Maths Test- 5 - Question 5
Save
The solution of the differential equation   is 
JEE Main Maths Test- 5 - Question 6
Save

The integrating factor of the different equation dy/dx ( x log x ) + y = 2 log x is given by:
JEE Main Maths Test- 5 - Question 7
Save

Solution of   is 
Detailed Solution for JEE Main Maths Test- 5 - Question 7

JEE Main Maths Test- 5 - Question 8
Save

The solution   is 
JEE Main Maths Test- 5 - Question 9
Save

Solution of differential equation xdy – ydx = 0 represents 
JEE Main Maths Test- 5 - Question 10
Save

Integration factor of   is 
JEE Main Maths Test- 5 - Question 11
Save

A continuously differentiable function  y = f(x) ∈ (0,π ) satisfying  y = 1 + y, y (0) = 0 = y(π)is 
JEE Main Maths Test- 5 - Question 12
Save

The solution of   is 
JEE Main Maths Test- 5 - Question 13
Save
A primitive of sin x cos x is
JEE Main Maths Test- 5 - Question 14
Save
JEE Main Maths Test- 5 - Question 15
Save
If   then
JEE Main Maths Test- 5 - Question 16
Save

JEE Main Maths Test- 5 - Question 17
Save
JEE Main Maths Test- 5 - Question 18
Save

The primitive of | x |, when x < 0 is
JEE Main Maths Test- 5 - Question 19
Save
JEE Main Maths Test- 5 - Question 20
Save
*Answer can only contain numeric values
JEE Main Maths Test- 5 - Question 21
Save

If  is differentiable at x = 1, then the value of (A + 4B) is

Detailed Solution for JEE Main Maths Test- 5 - Question 21

ƒ(x) is continuous  A + B = A + 3 – B
⇒ B = 3/2
ƒ(x) is differentiable 2B = 6 + A 
⇒ A = –3

*Answer can only contain numeric values
JEE Main Maths Test- 5 - Question 22
Save

A function y = ƒ(x) satisfies the differential equation  The value of |ƒ"(1)| is

Detailed Solution for JEE Main Maths Test- 5 - Question 22

ƒ'(x) + x2ƒ(x) = –2x, ƒ(1) = 1
⇒    ƒ'(1) + 1 = –2     ⇒    ƒ'(1) = –3
ƒ''(x) + 2xƒ(x) + x2ƒ'(x) = –2
ƒ''(1) + 2ƒ(1) + ƒ'(1) = –2
ƒ''(1) = 3 – 4 = –1  ⇒ |ƒ''(1)| = 1

*Answer can only contain numeric values
JEE Main Maths Test- 5 - Question 23
Save

If the foci of the ellipse  and the hyperbola  coincide, then the value of b2 is :-

*Answer can only contain numeric values
JEE Main Maths Test- 5 - Question 24
Save

Let f(x) = min.  for all x ≤ 1. Then the area bounded by y = f(x) and the x-axis is :-

Detailed Solution for JEE Main Maths Test- 5 - Question 24

*Answer can only contain numeric values
JEE Main Maths Test- 5 - Question 25
Save

The area bounded by the loop of the curve 4y2 = x2 (4 – x2) is :-

Detailed Solution for JEE Main Maths Test- 5 - Question 25

357 docs|148 tests
Join Course
Information about JEE Main Maths Test- 5 Page
In this test you can find the Exam questions for JEE Main Maths Test- 5 solved & explained in the simplest way possible. Besides giving Questions and answers for JEE Main Maths Test- 5, 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 Main Maths Test- 5

Find all the important questions for JEE Main Maths Test- 5 at EduRev.Get fully prepared for JEE Main Maths Test- 5 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the JEE Main Maths Test- 5 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 Main Maths Test- 5 resources.

JEE Main Maths Test- 5 MCQs with Answers

Prepare for the JEE Main Maths Test- 5 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 Main Maths Test- 5 Mock Tests for JEE Main and Advanced 2025

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 Main Maths Test- 5 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