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

From point P(4,0) tangents PA and PB are drawn to the circle S: x^2+y^2=4 . If point Q lies on the circle, then maximum area of triangleQAB is- (1) 2sqrt3 (2) 3sqrt3 (3) 4sqrt3 A) 9

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

Tangents PA and PB are drawn to the circle (x-4)^(2)+(y-5)^(2)=4 from the point P on the curve y=sin x , where A and B lie on the circle. Consider the function y= f(x) represented by the locus of the center of the circumcircle of triangle PAB. Then answer the following questions. Which of the following is true ?

From the point P(3, 4) tangents PA and PB are drawn to the circle x^(2)+y^(2)+4x+6y-12=0 . The area of Delta PAB in square units, is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

From a point P perpendicular tangents PQ and PR are drawn to ellipse x^(2)+4y^(2) =4 , then locus of circumcentre of triangle PQR is

Tangents PT_1, and PT_2 , are drawn from a point P to the circle x^2 +y^2=a^2 . If the point P lies on the line Px +qy + r = 0 , then the locus of the centre of circumcircle of the triangle PT_1T_2 is

From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that triangleAPB is equilateral.

From an external point P , two tangents PA and PB are drawn to the circle with centre O . Prove that O P is the perpendicular bisector of A B .