or-3 Q4. A curve C has equation y = where a is a constant and x #-5 x+5 The gradient of C at the point on the curve where x = 2 is- 18 49 a) Show that a = 3. (3) Hence b) Write down an equation of the asymptote to C that is (2) i) parallel to the x-axis, ii) parallel to the y-axis, c) find the coordinates of the point where C crosses (2) i) the x-axis, ii) the y-axis, d) Sketch the curve C, showing clearly its asymptotes and the coordinates of the points where C crosses the coordinate axes. (3) Page 1 of 2