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arzoo unvi Grade: 12
```        Find the equation of circle having x-y-2=0 and x-y+2=0 as two tangents and x-y=0as diameter?(ans is   x2 + y2 =2)how??????
```
8 years ago

## Answers : (1)

147 Points
```										Dear   arzoo
given tangent line and diameter line are parallel to each other
radius is equal to distance between ant tangent line and diameter line that is equal to = √2
and center of line lie on the line the diameter line/
let co ordinate of center is (h,k)
since this lie on line x-y=0
so h=k
so equation of circle  (x-h)2 +( y-h)2 =2
it is a family of circle one of the possible circle is for h=0
x2 + y2 =2
similerly you will get many nore circle for different value of h
I think equation of diameter line should be x+y=0
then you will onle one circle  x2 + y2 =2

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```
8 years ago
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