JEE Exam > JEE Questions > If the two intersecting lines intersect the h...
Start Learning for Free
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points are
- a)1
- b)2
- c)2, 3 or 4
- d)2 or 3
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the two intersecting lines intersect the hyperbola and neither of t...
Intersecting Lines and Hyperbola
Explanation:
When two lines intersect a hyperbola, there can be 2, 3, or 4 intersection points. The number of intersection points depends on the position of the lines with respect to the hyperbola.
1. Lines intersect at the center of the hyperbola: If the lines intersect at the center of the hyperbola, then there are 4 intersection points.
2. Lines intersect outside the hyperbola: If the lines intersect outside the hyperbola, then there are 2 intersection points.
3. Lines intersect inside the hyperbola: If the lines intersect inside the hyperbola, then there are 2 or 3 intersection points.
The number of intersection points can be determined by the following steps:
Step 1: Find the intersection points of the lines with the asymptotes of the hyperbola.
Step 2: Check if the lines intersect inside or outside the hyperbola.
Step 3: If the lines intersect inside the hyperbola, then check if they intersect at a point on the hyperbola.
Step 4: If the lines intersect at a point on the hyperbola, then there are 3 intersection points. Otherwise, there are 2 intersection points.
Therefore, the correct answer is option C - 2, 3 or 4 intersection points.
Explanation:
When two lines intersect a hyperbola, there can be 2, 3, or 4 intersection points. The number of intersection points depends on the position of the lines with respect to the hyperbola.
1. Lines intersect at the center of the hyperbola: If the lines intersect at the center of the hyperbola, then there are 4 intersection points.
2. Lines intersect outside the hyperbola: If the lines intersect outside the hyperbola, then there are 2 intersection points.
3. Lines intersect inside the hyperbola: If the lines intersect inside the hyperbola, then there are 2 or 3 intersection points.
The number of intersection points can be determined by the following steps:
Step 1: Find the intersection points of the lines with the asymptotes of the hyperbola.
Step 2: Check if the lines intersect inside or outside the hyperbola.
Step 3: If the lines intersect inside the hyperbola, then check if they intersect at a point on the hyperbola.
Step 4: If the lines intersect at a point on the hyperbola, then there are 3 intersection points. Otherwise, there are 2 intersection points.
Therefore, the correct answer is option C - 2, 3 or 4 intersection points.
Free Test
FREE
| Start Free Test |
Community Answer
If the two intersecting lines intersect the hyperbola and neither of t...
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer?
Question Description
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer?.
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then number of intersecting points area) 1 b) 2 c) 2, 3 or 4 d) 2 or 3 Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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