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Tenth Grade (Grade 10) Circles Questions

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Grade 10 Circles
A circle is tangent to the x-axis at (5,0) and tangent to the y-axis at (0,-5). Determine the equation of this circle.
  1. [math](x-5)^2+ (y + 5)^2 = 5[/math]
  2. [math](x-5)^2+ (y - 5)^2 = 5[/math]
  3. [math](x-5)^2+ (y - 5)^2 = 25[/math]
  4. [math](x-5)^2+ (y + 5)^2 = 25[/math]
Grade 10 Circles
A circle with equation [math](x+4)^2 + (y-3)^2 = 16[/math] is shifted 5 units to the right. What is the equation of the new circle?
  1. [math](x-1)^2+ (y - 3)^2 = 16[/math]
  2. [math](x+1)^2+ (y + 3)^2 = 16[/math]
  3. [math](x-1)^2+ (y - 8)^2 = 16[/math]
  4. [math](x-5)^2+ (y - 5)^2 = 16[/math]
Grade 10 Circles
What do you know about intersecting chords?
  1. One chord is half of the other chords
  2. Their difference is -1
  3. The product of their divided lengths are equal
Grade 10 Circles
Coplanar circles that have the same center are                       .
  1. congruent circles
  2. concentric circles
  3. intersecting circles
  4. circumscribed circles
Grade 10 Circles
Grade 10 Circles
If 2 circles have congruent radii, then the 2 circles are                      .
  1. congruent circles
  2. concentric circles
  3. intersecting circles
  4. circumscribed circles
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