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Draw the lines X'OX and YOY' as axes on ...

Draw the lines X'OX and YOY' as axes on the plane of a graph paper and plot the points given below
(i) `A (5, 3)` (ii) `B(-3, 2)`
(iii) `C (-5, -4)` (iv) `D(2, -6)`

Text Solution

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Let X'OX and YOY' be the coordinate axes.
Fix a convenient unit of length and starting from O, mark equal distance on OX, OX', OY and OY'. Use the convention of signs.
(i) Starting from O, take +5 units on the x-axis and then +3 units on the y-axis to obtain the point A(5, 3)
(ii) Starting from O, take `-3` units on the x-axis and the `+2` units on the y-axis to obtain the point `B(-3, 2)`
(iii) Starting from O, take `-5` units on the x-axis and then `-4` units on the y-axis to obtain the point `C (-5, -4)`
(iv) Starting from O, take 2 units on the x-axis and then `-6` units on the y-axis to obtain the point `D(2, -6)`
These points are shown below
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