Tangents PA and PB are drawn to the circle `(x + 3)^2 + (y - 4)^2 = 1` from a variable point `P` on `y = sinx.` Find the locus of the centre of the circle circumscribing triangle `PAB.`

If tangents PA and PB are drawn to circle (x+3)^(2)+(y-2)^(2)=1 from a variable point P on y^(2)=4x, then the equation of the tangent of slope 1 to the locus of the circumcentre of triangle PAB 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

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

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

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 ?

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 ?

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

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