PRE-CALCULUS 4. Which of the following equations represents an ellipse with horizontal minor axis? A. -+ 16y2 = 16 141 =2 D. 10 5. A point moves so that the difference of their distances from (-6,0) and (6,0) is 10. Find the equation of its path. A. 25 61 C. 25 B. 61 25 D. 61 25 6. What are the vertices of the hyperbola with equation (x-3)2 _(1+4)2 2=1? 25 A. (8, -4) and (-2, -4) B. (5, -4) and ( 1, -4) C. (3, -2) and (3, -6) D. (3, 1) and (3, -4) 7. What are the foci of the hyperbola with equation y? - 8x2 = 32 ? A. (16, 0 ) C. (+4/2, 0 ) B. (0, +6 ) D. (0, 14V/2) For numbers 8 - 10, Consider the hyperbola with its equation x2 = = y? + 9 8. What is the center of the hyperbola? A. (4, 4) C. (2, 2) B. (3, 3 ) D. (0, 0 ) 9. What is the length of the conjugate axis? A. 6 B. 8 C. 9 D. 16 10. Which of the following are the co - vertices of the hyperbola? A. (0, 14) C. (13, 0) B. (+4, 0 ) D. (0, 13 ) Il. Given the focus (2,3), vertex (2, -6), and co-vertex (-1, -1) of an ellipse, find the following: (6 points) Center: Foci: (2,3) and Vertices: (2, -6) and Co-vertices: (-1, -1) and Length of major axis: Standard equation: page 52OKK #2 FIRST GRADING, 1" SEMESTER NAME: DATE: GRADE & SECTION: Page 51 General Instructions: This is a Quiz worth 30 points from module 1. Cut this part and staple them properly. Don't Forget to write your name grade and section on the upper left corner of the next pages. ALL final answers should be written in blue or black permanent ink only. Strictly NO any kind of ERASURE or change in answer, NO superimposition on final answers. Deduction from the total score will be given if instructions are not followed. 1. TRUE or FALSE: Write the word TRUE if the statement is correct; otherwise, write FALSE. (5 points) 1. The minor axis of an ellipse is the segment that passes through the focus and is perpendicular to the major axis. 2. The x - coordinates of the foci of a vertical ellipse are equal. 3. In the standard equation of an ellipse, if the x - part has the bigger denominator, the ellipse is horizontal. 4. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from any point on the hyperbola to the foci is constant. 5. The hyperbola - -12 = 1 has a horizontal transverse axis and 2 asymptotes II.MULTIPLE CHOICE. Read and analyze the questions then write the letter that corresponds to your answer on the space provided before each number. If the correct answer is not among the choices, write E. Use uppercase letters, (10 points) 1. What are the coordinates of the vertices of the ellipse 9 36 = 1? A. (-6,0) and (6,0) C. (-3,0) and (3,0) B. (0,-6) and (0, 6) D. (0, -3) and (0,3) 2. The lengths of the major and minor axes of an ellipse are 10 inches and 8 inches respectively. What is the distance between the foci? A. 3 B. 4 C. 5 D. 6 3. Which equation represents an ellipse centered at the origin with vertex at (-5.0) and co-vertex at (0,3)? C. X 25 B. D. Property of and for the exclusive use of SLU, Reproduction, storing in a retrieval system, distributing, uploading or posting of transmitting in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise of any part without the prior written permission of SLU, is strictly prohibited