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Question
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.
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Solution
Here, points P and S lie in I quadrant so their both coordinates will be positive. Now, perpendicular distance of P from both axes is 1, so coordinates of P are (1, 1). Also, perpendicular distance of S from X-axis is 1 and from Y-axis is 2, so coordinates of S are (2, 1).
Point Q lies on X-axis in negative direction so its y-coordinate will be zero and x-coordinate will be –3. So, coordinates of Q are (–3, 0).
Point R lies in III quadrant, so its both coordinates will be negative. Now, its perpendicular distance from X-axis is 3 and from Y-axis is 2, so coordinates of point R are (–2, –3).
Point T lies in IV quadrant, so its x-coordinate will be positive and y-coordinate will be negative. Now, its perpendicular distance from X-axis is 2 and from Y-axis is 4, so coordinates of T are (4, –2). Point O is the intersection of both axes, so it is the origin and its coordinates are O(0, 0).
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