My Learning Cart
?
Categories
Account

The family of curves defined by the equation x^2 + y^2 = r^2 represents:

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

What’s inside this PDF?

Question: The family of curves defined by the equation x^2 + y^2 = r^2 represents:

Options:

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

Correct Answer: Circles

Solution: 

The equation x^2 + y^2 = r^2 represents a circle with radius r.

The family of curves defined by the equation x^2 + y^2 = r^2 represents:

Practice Questions

Q1
The family of curves defined by the equation x^2 + y^2 = r^2 represents:
  1. Ellipses
  2. Hyperbolas
  3. Circles
  4. Parabolas

Questions & Step-by-Step Solutions

The family of curves defined by the equation x^2 + y^2 = r^2 represents:
  • Step 1: Identify the equation given, which is x^2 + y^2 = r^2.
  • Step 2: Recognize that this equation is in the standard form of a circle's equation.
  • Step 3: Understand that in the equation of a circle, 'r' represents the radius.
  • Step 4: Conclude that the equation describes a circle centered at the origin (0,0) with radius 'r'.
  • Circle Equation – The equation x^2 + y^2 = r^2 represents a circle centered at the origin with radius r.
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