Find the equation of circle having x-y-2=0 and x-y+2=0 as two tangents and x-y=0as diameter?

Dear arzoo unvi

given tangent and diameter all three lines are paralllel to each other

 

 

Distance between diameter and any tangent will be equal to radius

that is equal to 2√2

let center is (h,k)

center lie on x-y=0 so h=k

so equation of circle is (x-h)² +(y-h)² =8

a fimily of circle is obtain with variable centter

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