Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
Expand All
Collapse All
Practice Questions
1 question
Q1
What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
Ellipses
Hyperbolas
Parabolas
Circles
Show Solution
Copy
The equation x^2/a^2 + y^2/b^2 = 1 represents a family of ellipses with semi-major axis a and semi-minor axis b.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
Solution:
The equation x^2/a^2 + y^2/b^2 = 1 represents a family of ellipses with semi-major axis a and semi-minor axis b.
Steps: 5
Show Steps
Step 1: Identify the equation given, which is x^2/a^2 + y^2/b^2 = 1.
Step 2: Recognize that this equation is in the standard form of an ellipse.
Step 3: Understand that 'a' represents the length of the semi-major axis (the longer axis of the ellipse).
Step 4: Understand that 'b' represents the length of the semi-minor axis (the shorter axis of the ellipse).
Step 5: Conclude that the equation describes a family of ellipses, where the size and shape depend on the values of 'a' and 'b'.
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
F
Find the value of tan(45°) + cot(45°).
Question: Find the value of tan(45°) + cot(45°).Options: 120undefinedCorrect Answer: 2Solution: tan(..
W
What type of curves does the equation y = mx^3 + c represent?
Question: What type of curves does the equation y = mx^3 + c represent?Options: Linear functionsCubi..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
