A. Express the equation 3x – 4y + 8=0 to the (a) slope-intercept form; (b) intercept form. B. Determine the equation of a line through (6,-1) and perpendicular to the line 4x – 5y-6-0 C. Find the distance of the point (6, – 3) from the line 2x – y+4=0. D. Reduce to standard form and draw the circle whose equation is 4x? + 4y2 – 4x – 8y – 31 = 0. E. Express x? – 12x + 16y – 60 = 0 to standard form and construct the parabola. F. Locate the center of the conic 16x² + 25y² – 160x – 200y + 400 = 0 G. Locate the center of the conic 49y² – 4x? + 48x – 98y - 291 = 0 H. Identify the conic sections represented by the following formula a) 2x? – 8xy + 4x = 12 b) x² + y – 4x + 2y – 20 = 0 c) 4x? – y? = 16 d) x? – 4x + 8y - 20 = 0 e) 16x? + y? = 64 %3D
A. Express the equation 3x – 4y + 8=0 to the (a) slope-intercept form; (b) intercept form. B. Determine the equation of a line through (6,-1) and perpendicular to the line 4x – 5y-6-0 C. Find the distance of the point (6, – 3) from the line 2x – y+4=0. D. Reduce to standard form and draw the circle whose equation is 4x? + 4y2 – 4x – 8y – 31 = 0. E. Express x? – 12x + 16y – 60 = 0 to standard form and construct the parabola. F. Locate the center of the conic 16x² + 25y² – 160x – 200y + 400 = 0 G. Locate the center of the conic 49y² – 4x? + 48x – 98y - 291 = 0 H. Identify the conic sections represented by the following formula a) 2x? – 8xy + 4x = 12 b) x² + y – 4x + 2y – 20 = 0 c) 4x? – y? = 16 d) x? – 4x + 8y - 20 = 0 e) 16x? + y? = 64 %3D
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 16CT
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