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Last updated at Feb. 3, 2020 by Teachoo
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Ex 10.1, 3 Find the distance between P (x1, y1) and Q (x2, y2) when: (i) PQ is parallel to the y-axis. Since PQ is parallel to y-axis x1 = x2. Distance PQ = โ("(" ๐ฅ_2โ๐ฅ_1 ")2 " +"(" ๐ฆ_2โ๐ฆ_1 ")2" ) = โ("(" ๐ฅ_2โ๐ฅ_2 ")2 " +"(" ๐ฆ_2โ๐ฆ_1 "2" ) = โ((๐ฆ_2โ๐ฆ_1 "2" )+0) = โ("(" ๐ฆ_2โ๐ฆ_1 ")2" ) = ยฑ (๐ฆ_2โ๐ฆ_1) = |"y2" โ"y1" | Ex 10.1, 3 Find the distance between P (x1, y1) and Q (x2, y2) when: (ii) PQ is parallel to the x-axis. Since PQ is parallel to x-axis y1 = y2. Distance PQ = โ("(" ๐ฅ_2โ๐ฅ_1 "2" +"(" ๐ฆ_2โ๐ฆ_1 ")2" ) = โ("(" ๐ฅ_2โ๐ฅ_1 ")2 " +"(" ๐ฆ_1โ๐ฆ_1 ")2" ) = โ("(" ๐ฅ_2โ๐ฅ_1 ")2" +0) = โ("(" ๐ฅ_2โ๐ฅ_1 ")2" ) = ยฑ (๐ฅ_2โ๐ฅ_1) = |๐_๐โ๐_๐ |
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