My Learning Cart
?
Categories
Account

What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?

Options:

  1. Ellipses
  2. Hyperbolas
  3. Parabolas
  4. Circles

Correct Answer: Ellipses

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.

What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?

Practice Questions

Q1
What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
  1. Ellipses
  2. Hyperbolas
  3. Parabolas
  4. Circles

Questions & Step-by-Step Solutions

What is the family of curves represented by the equation x^2/a^2 + y^2/b^2 = 1?
Correct Answer: Ellipses
  • 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'.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks