Ex 9.1, 3 Class 11 - Find Distance b/w P (x1, y1) & Q (x2, y2) when - Ex 9.1

 

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Ex 9.1, 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 = √("(" 𝑥_2−𝑥_1 "2" +"(" 𝑦_2−𝑦_1 ")2" ) = √("(" 𝑥_2−𝑥_1 ")2 " +"(" 𝑦_1−𝑦_1 ")2" ) = √("(" 𝑥_2−𝑥_1 ")2" +0) = √("(" 𝑥_2−𝑥_1 ")2" ) = ± (𝑥_2−𝑥_1) = |𝒙_𝟐−𝒙_𝟏 |

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