1. Consider a circle of radius 6 with center at the origin.a. Lines with slopes 1 and -1 each intersect the circle in two points. Find thecoordinates of these points.b. If you know one of the points of intersection in Part a, how can you use thesymmetry of the circle to determine the remaining three?V33c. The line y = x intersects the circle in two points. Find the coordinatesof those points. Find the coordinates of the points on the circle that are sym-metric to these points with respect to the x-axis. Then find the equation ofthe line containing these new points.V3d. What angle does y = x make with the x-axis?3Juada i elsa Jedi nolionui does to desu2

The point symmetric about x-axis of (x,y) is (x,-y) The point symmetric about y-axis of (x,y) is…

1. Consider a circle of radius 6 with center at the origin. a. Lines with slopes 1 and -1 each intersect the circle in two points. Find the coordinates of these points. b. If you know one of the points of intersection in Part a, how can you use the symmetry of the circle to determine the remaining three? √3 c. The line y = ." 3 x intersects the circle in two points. Find the coordinates of those points. Find the coordinates of the points on the circle that are sym- metric to these points with respect to the x-axis. Then find the equation of the line containing these new points. V3 d. What angle does y = x make with the x-axis? 3

1. Consider a circle of radius 6 with center at the origin. a. Lines with slopes 1 and -1 each intersect the circle in two points. Find the coordinates of these points. b. If you know one of the points of intersection in Part a, how can you use the symmetry of the circle to determine the remaining three? √3 c. The line y = ." 3 x intersects the circle in two points. Find the coordinates of those points. Find the coordinates of the points on the circle that are sym- metric to these points with respect to the x-axis. Then find the equation of the line containing these new points. V3 d. What angle does y = x make with the x-axis? 3

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 37E: Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and...

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