page 03 MARKS Attempt ALL questions Total marks — 70 1. Find the x-coordinates of the stationary points on the curve with equation = − + y x x 4 3 1 2 6 2 . 2. The equation ( ) + − + = x k x 2 5 1 0 has equal roots. Determine the possible values of k. 3. Circle C1 has equation + − − − = 2 2 6 2 26 0 x y x y . Circle C2 has centre (4,-2). The radius of C2 is equal to the radius of C1. Find the equation of circle C2. 4. A sequence is generated by the recurrence relation + = + n n c u mu 1 , where the first three terms of the sequence are 6, 9 and 11. (a) Find the values of m and c. (b) Hence, calculate the fourth term of the sequence. 5. (a) Show that the points A(1,5,-3), B(4,-1,0) and C(8,-9,4) are collinear. (b) State the ratio in which B divides AC. 4 3 2 3 1 3 1 [Turn over