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TS EAMCET · Maths · Circle

The equation of the circle of radius 5 and touching the co-ordinate axes in third quadrant is

  1. A \((x-5)^2+(y+5)^2=25\)
  2. B \((x+5)^2+(y+5)^2=25\)
  3. C \((x+4)^2+(y+4)^2=25\)
  4. D \((x+6)^2+(y+6)^2=25\)
Verified Solution

Answer & Solution

Correct Answer

(B) \((x+5)^2+(y+5)^2=25\)

Step-by-step Solution

Detailed explanation

Since the circle touches the coordinate axes in third quadrant therefore. centre of the circle is \((-5,-5)\) Then equation of circle is, \((x+5)^2+(y+5)^2=25\).