1. Given the ellipse 9x- + 4y = 36. Which of the My Calculations following statements is true? 9x2+ 4y* = 36 a. The length of the minor axis is 4. d: Let y= 0 qx +0= 36 b The length of the major axis is 18. 971 = 36 c. The coordinates of the foci are (+v13,0). False X = 4 71 = 2 d. One vertex has coordinates (3, 0). 2. The equation of the directrix of the parabola My Calculations x + 2x+ y =0 is 72+ 2x+y=0 5 a. y= a=1 b= 2 c=1 b. y = 5 y= - 616-40c 20 C. y= 3 = +214-4 2 d. y= 3 3. Which graph best represents the following inequality. x -1 9 16 C b. d.9. The diagram below represents the crest of a football team in the middle of their field. - 5m - - 5m - ? The boundary is drawn so that the sum of the distances from two fixed points to any point on the curve is a constant 30 metres. The distance between the two fixed points is 24 metres. The letter "N" inside the boundary has two vertical lines 5 metres from the ends of the crest. Find the height of the letter "N" in the crest.4. Determine the equation of the ellipse with a minor axis of length 8 and a focus at (0, 3). 5. A tangent line to a circle meets the circle at the point (-6, 2). If the circle is centred at the origin, find the equation of the tangent line. 6. The equations of the asymptotes of a hyperbola are y =+_x. The length of the 2 vertical conjugate axis is 12 units. Find the distance between the foci of the hyperbola. 7. Find the point(s) of intersection of the line 2x + y +5 =0 and the hyperbola x2 -1 = 1