JEE Exam > JEE Questions > If (a−3) x2+ ay2= 9 represents a rectan...
Start Learning for Free
If (a−3) x2 + ay2 = 9 represents a rectangular hyperbola, then a=...
- a)0
- b)-3/2
- c)3/2
- d)none of these
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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=....
For rectangular hyperbola a=b,
Hence (a−3)=−a,
So a=3/2
Hence (a−3)=−a,
So a=3/2
Free Test
FREE
| Start Free Test |
Community Answer
If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=....
Explanation:
Given Equation: (a-3)x^2 + ay^2 = 9
Rectangular Hyperbola: The general equation of a rectangular hyperbola is given by xy = c, where c is a constant.
Comparing Equations:
1. We can rewrite the given equation as xy = 9/(a-3).
2. Comparing with the general form, we get c = 9/(a-3).
Condition for Rectangular Hyperbola: For the given equation to represent a rectangular hyperbola, the value of c should be a non-zero constant.
Calculating 'a':
1. For xy = 9/(a-3) to represent a rectangular hyperbola, the denominator (a-3) should not be zero.
2. Therefore, a-3 ≠ 0
3. Solving for 'a', we get a ≠ 3.
4. Hence, a = 3 is not allowed.
5. Therefore, a = 3 is not a possible value for the given equation to represent a rectangular hyperbola.
Final Answer:
Therefore, the correct value of 'a' for the given equation to represent a rectangular hyperbola is a = 3/2. Hence, option 'C' is the correct answer.
Given Equation: (a-3)x^2 + ay^2 = 9
Rectangular Hyperbola: The general equation of a rectangular hyperbola is given by xy = c, where c is a constant.
Comparing Equations:
1. We can rewrite the given equation as xy = 9/(a-3).
2. Comparing with the general form, we get c = 9/(a-3).
Condition for Rectangular Hyperbola: For the given equation to represent a rectangular hyperbola, the value of c should be a non-zero constant.
Calculating 'a':
1. For xy = 9/(a-3) to represent a rectangular hyperbola, the denominator (a-3) should not be zero.
2. Therefore, a-3 ≠ 0
3. Solving for 'a', we get a ≠ 3.
4. Hence, a = 3 is not allowed.
5. Therefore, a = 3 is not a possible value for the given equation to represent a rectangular hyperbola.
Final Answer:
Therefore, the correct value of 'a' for the given equation to represent a rectangular hyperbola is a = 3/2. Hence, option 'C' is the correct answer.
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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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 (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If (a−3) x2+ ay2= 9 represents a rectangular hyperbola, then a=...a)0b)-3/2c)3/2d)none of theseCorrect 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
|
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