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$A circle is drawn touching the x-axis and centre at the point which is the reflection of$
$(a, b) in the line y - x = 0 . The equation of the circle is$

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x2+y2−2bx−2ay+a2=0

x2+y2−2bx−2ay+b2=0

x2+y2−2ax−2by+b2=0

x2+y2−2ax−2by+a2=0

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detailed solution

Correct option is B

The reflection of (a,b) in the line y=x is (b,a) : Equation of circle having centre at b,a and touching x-axis is (x−b)2+(y−a)2=a2⇒x2+b2−2bx+y2+a2−2ay=a2⇒x2+y2−2bx−2ay+b2=0

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A circle is drawn touching the x-axis and centre at the point which is the reflection of (a,b) in the line y−x=0 . The equation of the circle is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$A circle is drawn touching the x-axis and centre at the point which is the reflection of$
$(a, b) in the line y - x = 0 . The equation of the circle is$