Let S be the circle in the xy-plane defined by the equation x2+y2=4.Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve

Let S be the circle in the xy-plane defined by the equation x2+y2=4.Le

1.	Let S be the circle in the xy-plane defined by the equation x2+y2=4.Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point of the line segment MN must lie on the curve
Answer» Let $S$ be the circle in the $x y$ -plane defined by the equation $x^{2} + y^{2} = 4$ . Let $P$ be a point on the circle $S$ with both coordinates being positive. Let the tangent to $S$ at $P$ intersect the coordinate axes at the points $M$ and $N$ . Then, the mid-point of the line segment $M N$ must lie on the curve