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प्रश्न
Find the mid-point of the line segment joining the points
(a, b) and (a + 2b, 2a – b)
उत्तर
Mid–point of a line = `((x_1 + x_2)/2, (y_1 + y_2)/2)`
Mid–point of AB = `(("a" + "a" + 2"b")/2, ("b" + 2"a" - "b")/2)`
= `((2"a" + 2"b")/2, (2"a")/2)`
= `(2(("a" + "b"))/2, "a")`
= (a + b, a)
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Using midpoint formula,
∴ Coordinates of midpoint of segment AB
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