Tangents PA and PB are drawn to the circle (x−4)2+(y−5)2=4 from the point P on the curve y=sinx, where A and B lie on the circle. Consider the function y = f(x) represented by the locus of the centre of the circumcircle of triangle PAB, then Range of y=f(x) is

Tangents PA and PB are drawn to the circle (x−4)2+(y−5)2=4 from th

1.	Tangents PA and PB are drawn to the circle (x−4)2+(y−5)2=4 from the point P on the curve y=sinx, where A and B lie on the circle. Consider the function y = f(x) represented by the locus of the centre of the circumcircle of triangle PAB, then Range of y=f(x) is
Answer» Tangents $P A$ and $P B$ 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 centre of the circumcircle of triangle $P A B$ , then Range of $y = f (x)$ is