Mathematics

Coordinate Geometry Circles

61 Questions

Coordinate geometry circles cover equations of circles, loci, chords, and intersection points. They are an important part of the mathematics syllabus for advanced tests. Practicing these improves accuracy in algebraic manipulations and coordinate plotting.

circle equationsdiameter and centerlocus of pointsauxiliary circles

Coordinate Geometry Circles Questions

Multiple choice

What is the equation of a circle that is tangent to the y-axis at the point (0, b)?

  1. $$x^2 + (y - b)^2 = b^2$$
  2. $$x^2 + (y + b)^2 = b^2$$
  3. $$x^2 - (y - b)^2 = b^2$$
  4. $$x^2 - (y + b)^2 = b^2$$
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A Correct answer
Explanation

The equation of a circle that is tangent to the y-axis at the point (0, b) is given by $$x^2 + (y - b)^2 = b^2$$. This equation represents the set of all points in the plane that are equidistant from the point (0, b).