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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear arzoo unvi

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

 

5824-1485_7662_circle.JPG

 

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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