Paper 1 October/November 2004 MATHEMATICH (9709/1) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The equation of a curve is ${y^2} + 2x = 13$ and the equation of a line is $2y + x = k$, where $k$ is a constant.
a) In the case where $k = 8$, find the coordinates of the points of intersection of the line and the curve.
b) Find the value of $k$ for which the line is a tangent to the curve.