Tangent `P Aa n dP B` are drawn from the point `P` on the directrix of the parabola `(x-2)^2+(y-3)^2=((5x-12 y+3)^2)/(160)` . Find the least radius of the circumcircle of triangle `P A Bdot`

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

If tangents PQ and PR are drawn from a variable point P to thehyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1,(a>b), so that the fourth vertex S of parallelogram PQSR lies on the circumcircle of triangle PQR, then the locus of P is x^(2)+y^(2)=b^(2)( b) x^(2)+y^(2)=a^(2)x^(2)+y^(2)=a^(2)-b^(2)(d) none of these

Tangents PA and PB are drawn to x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Then find the equation of the circumcircle of triangle PAB.

Tangent PQ and PR are drawn to the circle x^2 + y^2 = a^2 from the pint P(x_1, y_1) . Find the equation of the circumcircle of DeltaPQR .

If P be a point on the parabola y^(2)=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sires of the parateral triangle SMP(where S is the focus of the parabola),is