Paper 2 May/June 2005 MATHEMATICH (9709/2) 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
${x^2} + 2xy - {y^2} + 8 = 0$
a) Show that the tangent to the curve at the point (−2, 2) is parallel to the x-axis.
b) Find the equation of the tangent to the curve at the other point on the curve for which $x = - 2$, giving your answer in the form $y = mx + c$.