ANALYTIC GEOMETRY_Oct.8 (1).docx - ANALYTIC GEOMETRY \u221a 2 2 \u221a 2 2 distance formula= x 1\u2212x 2 y 1\u2212 y 2 \u2228 x 2\u2212x 1 y 2\u2212 y 1 Solutions 2 2

ANALYTIC GEOMETRY_Oct.8 (1).docx - ANALYTIC GEOMETRY u221a...

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ANALYTIC GEOMETRY distance formula = ( x 1 x 2 ) 2 + ( y 1 y 2 ) 2 ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 Solutions: Segment AB d = ( 4 4 ) 2 + ( 2 5 ) 2 = 7 units Segment BC d = ( 4 4 ) 2 + ( 8 5 ) 2 = 3 units 2) Find the directed distance between points P 1 ( 0, -8) and P 2 ( 16, 7) d = ( 0 16 ) 2 + ( 8 7 ) 2 = 21.93 units 3) Given A (5, -8) and B (-6,2) find the point ( x m , y m ) on segment AB that is three-fourths on the way from A to B. x 1 y 1 x 2 y 2 8 2 −( ¿ ) ¿ x m = 5 + 3 4 ( 6 5 ) =− 3.25 y m =− 8 + 3 4 ¿ Answer: ( 3.25, 0.5 ) x = x 1 + r (x 2 - y = y 1 + r (y 2 -
4) A circle is given, find the coordinates of the center, if the endpoints of the diameter are (4,10) and (-6,-8)

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