1GD&ET

1GD&ET - GROUP DISCUSSION QUESTIONS Page 26 1. a....

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GROUP DISCUSSION QUESTIONS Page 26 1. a. Let P 1 = (2,6) and P 2 = (–4,3). Then we have x 1 = 2, y 1 = 6, x 2 = –4, and y 2 = 3. Using formula (1), we have d =− − +− = += = () ( ) 42 36 3 69 4 535 22 as obtained in Example 1. b. Let P 1 ( x 1 , y 1 ) and P 2 ( x 2 , y 2 ) be any two points in the plane. Then the result follows from the equality ( xx yy 21 2 2 12 2 2 −+− = −+− ) 2 x . Page 27 1. a. All points on and inside the circle with center ( h , k ) and radius r . b. All points inside the circle with center ( h , k ) and radius r . c. All points on and outside the cricle with center ( h , k ) and radius r . d. All points outside the circle with center ( h , k ) and radius r . 2. a. and so 2 4 y 2 4 yx b. (i) The upper semicircle with center at the origin and radius 2. (ii) The lower semicircle with center at the origin and radius 2. Page 28 1. a. Let P ( x , y ) be any point in the plane. Draw a line through P parallel to the y -axis and a line through P parallel to the x -axis (see figure). The x -coordinate of P is the number corresponding to the point on the x -axis at
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This note was uploaded on 03/08/2012 for the course MATH 1010 taught by Professor Mihai during the Fall '08 term at UOIT.

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1GD&ET - GROUP DISCUSSION QUESTIONS Page 26 1. a....

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