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Q.

The coordinates of vertices of a rectangle OABC, where O is the origin, length OA = 5 units lying along x-axis, breadth AB = 3 units and B lying in the fourth quadrant are:


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a

O (0, 0), A (5, 0), B (5, -3) and C (0, -3)

b

O (0, 7), A (5, 0), B (2, -3) and C (2, -3)

c

O (0, 0), A (5, 1), B (3, -3) and C (9, -3)

d

O (0, 0), A (9, 0), B (2, -3) and C (6, -3) 

answer is A.

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Detailed Solution

Given a rectangle OABC, where O is the origin, length OA = 5 units lying along x-axis, breadth AB = 3 units and B lying in the fourth quadrant.
Rectangle lies in 4th quadrant with origin as one point.
Now, as length OA = 5 units therefore, the coordinate of point A is (5, 0).
Also, breadth AB = 3 units therefore, the coordinate of point B is (5,-3).
Plotting the rectangle OABC,
Question ImageFrom the graph, the coordinates are O (0, 0), A (5, 0), B (5, -3) and C (0, -3).
Hence, option 1 is correct.
 
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The coordinates of vertices of a rectangle OABC, where O is the origin, length OA = 5 units lying along x-axis, breadth AB = 3 units and B lying in the fourth quadrant are: