Ex 10.1, 3 - Chapter 10 Class 11 Straight Lines

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Ex10.1, 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 = ("(x2 " " x1)2 " + "(y2 " " y1)2" ) = ("(x2 " " x2)2 " + "(y2 " " y1)2" ) = ("(y2 " " y1)2" + 0) = ("(y2 " " y1)2" ) = (y2 y1) = |"y2" " y1" | Ex10.1, 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 = ("(x2 " " x1)2 " + "(y2 " " y1)2" ) = ("(x2 " " x1)2 " + "(y1 " " y1)2" ) = ("(x2 " " x1)2" + 0) = ("(x2 " " x1)2" ) = (x2 x1) = |"x2" " x1" |