Question

The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is.

• A. $( x - 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$
• B. $( x + 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 25$
• C. $( x + 6 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 25$
• D. $( x + 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$

Answer 1

Answer: (D)

$( x + 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$

Answer 2

Since circle touches the co-ordinate axes in III quadrant.

$\therefore$ Radius $= - h = - k$ . Hence $h = k = - 5$

$\therefore$ Equation of circle is $( x + 5 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$