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Which of the following represents a family of circles with varying radii?

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Question: Which of the following represents a family of circles with varying radii?

Options:

  1. (x - h)^2 + (y - k)^2 = r^2
  2. (x - h)^2 + (y - k) = r
  3. x^2 + y^2 = r
  4. x^2 + y^2 = kx

Correct Answer: (x - h)^2 + (y - k)^2 = r^2

Solution:

The equation (x - h)^2 + (y - k)^2 = r^2 represents a circle centered at (h, k) with radius r.

Which of the following represents a family of circles with varying radii?

Practice Questions

Q1
Which of the following represents a family of circles with varying radii?
  1. (x - h)^2 + (y - k)^2 = r^2
  2. (x - h)^2 + (y - k) = r
  3. x^2 + y^2 = r
  4. x^2 + y^2 = kx

Questions & Step-by-Step Solutions

Which of the following represents a family of circles with varying radii?
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