find the equation of a circle touching both the axes and whose radius is 5
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The equation of the circle is x² -10x + y² -10y + 25 = 0
Step by Step Explanation:
It has been given that the circle touching both the axes and whose radius is 5.
So,
r = 5
And let the the circle is at first quadrant.
So, radius of the circle is (5, 5)
The standard form of a circle is given by
(x-h)² + (y-k)² = r²
Substituting the known values in the formula
(x-5)² + (y-5)² = 5²
x² - 10x + 25 + y² - 10y+ 25 = 25
x² -10x + y² -10y + 25 = 0
#Learn More:
Find the equation of a circle with radius 5 whose centre lies on x axis and passes through the point (2,3)
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