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10. Find the coordinates of the point where the segment joining the points (2,-2, 1) and (5, 1, -2) crosses the xy plane. a. (3,-1,0) b. (3, 1, 0) c. (3, 0, 1) d. (0,3,-1) 11. Given is an equation x 2/16 - y ^2/9 + z*2/4 = 1. Identify the surface. a. ellipsoid b. hyperboloid of one sheet c. hyperboloid of two sheets d. paraboloid 12. The curve represented by x 2 + y 2 + Ax + By +C =0 is a. ellipse b. circle c. parabola d. hyperbola 13. The curve defined by |z-i| = 2 is a. circle b. line c. ellipse d. hyperbola 14. The tower of a parabolic suspension bridge 300m long are 60m high and the lowest point of the cable is 20 m above the roadway. Find the vertical distance from the roadway to the cable at 100m from the center. a. 17.78m b. 12.88m C. 37.78m MPC d. 32.86m 15. If the distance between points (2,10,4) and (8,3,z) is 9.433, what is the value of z? a. 4 b. 3 C. 6 d. 5 46 16. In an ellipse, a chord which contains a focus and is in a line perpendicular to the major axis is a AA a. latus rectum b. minor axis MM E focal width d. major axis 17. A reflecting telescope has a parabolic mirror for which the distance from the vertex to the focus is 30 ft. If the distance across the top of the mirror is 64 in, how deep is the mirror of the center? a. 32/45 b. 30/43 c. 32/47 d. 35/46 18. If the planes 5x-6y-7z =0 and 3nx+2y-mz+1=0 are parallel, find m. a. -2/3 b. -4/3 C. -5/3 d. -7/3 19. Find the point on the line x = y =z that is equidistant from (3,0,5) and (1,-1,4) a. (1,1,1) b. (2,2,2) c. (3,3,3) d. (4,4,4) 20. Find the distance between lines x/1 = y/2 = z-6/3 and x/3 =y/2 = z/1 a. sq.rt of 5 b. sq.rt of 6 c. sq.rt of 7 d. sq.rt of 3