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Tangents PA and PB are drawn to the circ...

Tangents PA and PB are drawn to the circle `x^2+y^2=4`,then locus of the point P if PAB is an equilateral triangle ,is equal to

Text Solution

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`In/_AOD`
`cos30=(AD)/(OA)`
`AD=ACos30=2*sqrt3/2`
`AD=sqrt3`
`AB=2sqrt3`
`OP^2=OA^2+AP^2`
`(h-0)^2+(k-0)^2=4+12`
`h^2+k^2=16`
...
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