JEE Exam > JEE Notes > Mathematics (Maths) for JEE Main & Advanced > JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced PDF Download
2021
Q1: Consider the lines L1 and L2 defined by
For a fixed constant λ, let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is √270. Let the perpendicular bisector of RS meet C at two distinct points R' and S'. Let D be the square of the distance between R' and S'. ]
The value of λ2 is __________. [JEE Advanced 2021 Paper 1]
Ans: 9
According to the question,
Let R ≡ (x1, y1) and S(x2, y2)
∵ C cuts y − 1 = 2x at R and S.
So, 
∵ RS2 = 270 (given)
Q2: Consider the lines L1 and L2 defined by
For a fixed constant λ, let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is √270. Let the perpendicular bisector of RS meet C at two distinct points R' and S'. Let D be the square of the distance between R' and S'. ]
The value of D2 is __________. [JEE Advanced 2021 Paper 1]
Ans: 77.14
According to the question,
Let R ≡ (x1, y1) and S(x2, y2)
∵ C cuts y − 1 = 2x at R and S.
So,
∵ RS2 = 270 (given)
Now, mid-point of RS is 
and slope of RS = 2 and slope of 
On solving x + 2y − 2 = 0 with C, we get
Hence, 
= 
The document JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced is a part of the JEE Course Mathematics (Maths) for JEE Main & Advanced.
All you need of JEE at this link: JEE
|
209 videos|443 docs|143 tests
|
FAQs on JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines - Mathematics (Maths) for JEE Main & Advanced
| 1. What are some important concepts to understand in straight lines for JEE Advanced? |  |
Ans. Some important concepts to understand in straight lines for JEE Advanced include slope-intercept form, point-slope form, two-point form, intercept form, distance between a point and a line, and equations of parallel and perpendicular lines.
| 2. How can I find the equation of a line knowing its slope and a point it passes through? | |
Ans. To find the equation of a line knowing its slope (m) and a point (x₁, y₁) it passes through, you can use the point-slope form. The equation is given by y - y₁ = m(x - x₁).
| 3. What is the condition for two lines to be parallel? | |
Ans. Two lines are parallel if and only if their slopes are equal. In other words, if the slopes (m₁ and m₂) of two lines are equal, they are parallel.
| 4. How can I find the distance between a point and a line? | |
Ans. To find the distance between a point (x₁, y₁) and a line Ax + By + C = 0, you can use the formula:
Distance = |Ax₁ + By₁ + C| / √(A² + B²)
This formula is derived from the perpendicular distance formula.
| 5. Can you explain the intercept form of a straight line equation? | |
Ans. The intercept form of a straight line equation is given by x/a + y/b = 1, where a and b are the x-intercept and y-intercept of the line, respectively. This form is convenient for determining the intercepts and sketching the line on a coordinate plane.
Related Exams
About this Document
|
Nov 21, 2024 Last updated |
Document Description: JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
The notes and questions for JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines have been prepared according to the JEE exam syllabus. Information about JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines covers topics
like 2021 and JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines.
Introduction of JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines in English is available as part of our Mathematics (Maths) for JEE Main & Advanced
for JEE & JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines in Hindi for Mathematics (Maths) for JEE Main & Advanced course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced
Description
Full syllabus notes, lecture & questions for JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced - JEE | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) for JEE Main & Advanced | Best notes, free PDF download
Information about JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines
In this doc you can find the meaning of JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines defined & explained in the simplest way possible. Besides explaining types of
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines theory, EduRev gives you an ample number of questions to practice JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines tests, examples and also practice JEE
tests
|
209 videos|443 docs|143 tests
|
Download as PDF
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
study material
,JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced
,Free
,past year papers
,Summary
,video lectures
,practice quizzes
,MCQs
,Important questions
,Extra Questions
,Semester Notes
,Previous Year Questions with Solutions
,mock tests for examination
,JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced
,ppt
,shortcuts and tricks
,Objective type Questions
,Viva Questions
,Sample Paper
,Exam
,JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines | Mathematics (Maths) for JEE Main & Advanced
;
Additional Information about JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines for JEE Preparation
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines Free PDF Download
The JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines now and kickstart your journey towards success in the JEE exam.
Importance of JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines
The importance of JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines Notes
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines Notes on EduRev are your ultimate resource for success.
JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines JEE
The "JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines on the App
Students of JEE can study JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of JEE Advanced Previous Year Questions (2018 - 2023): Straight Lines is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup