From a point P tangent  is drawn to the circle x2+y2=a2 tangent  is drawn to the circle x2+y2=b2.If these tangent are perpendicular ,then locus of P is :
(A)x2+y2=a2+b2
(B)x2+y2=a2- b2
(C)x2+y2=(ab)2
(D)​x2+y2=a+b

Dear Student,
Please find below the solution to the asked query:

Let point is Ph,kWe havex2+y2=a2Equation of tangent is y=m1x±a1+m12Passes through h,kk=m1h±a1+m12k-m1h=±a1+m12k-m1h2=a21+m12and x2+y2=b2Equation of tangent is y=m2x±b1+m22Passes through h,kk=m1h±b1+m12

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