Question

# The equation of the circle passing through $$(2,0)$$ and $$(0,4)$$ and having the minimum radius is

A
x2+y2=20
B
x2+y22x4y=0
C
x2+y2=4
D
x2+y2=16

Solution

## The correct option is A $$x^{2}+y^{2}-2x-4y=0$$Given points are $$(2,0)$$ and $$(0,4)$$Therefore, equation of circle is $$(x-2)(x-0)+(y-0)(y-4)=0$$By expanding, we get$$x^{2}-2x+y^{2}-4y=0$$Option B is correct.Mathematics

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