Write the coordinates of the vertices of a rectangle whose length and breadth are 4 and 3 units respectively, has one vertex at the origin. The longer side is on the $x - axis$ and one of the vertices lies in the IV quadrant.

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0, 0, 0, − 3, 4, − 3, 4, 0

0, 0, 1, − 3, 4, − 3, 4, 0

0, 0, 0, − 3, 1, − 3, 4, 0

0, 0, 0, − 3, 4, − 3, 4, 1

answer is A.

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Detailed Solution

It is given that
Length of the Rectangle = 4 units
and
Breadth of the Rectangle = 3 units.
Since, one vertex of the rectangle is at the origin then coordinate is (0,0).
Also, the longer side is on the x-axis, and one of the vertices lies in the IV quadrant.
Then, the graph will be,
Question Image

.
From the graph,
It is shown that the longer side is on the x-axis and one of the vertices lies in the IV quadrant.
Then,
The coordinates of the vertex of the rectangle are