Write the coordinates on the version of a rectangle whose length and breadth
are 7 and 4 units respectively, one vertex at the origin, the longer side lies
on the axis and one of the vertices lies in the third quadrant. Plor the
coordinates on a graph sheet
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Let the rectangle be OABC with the vertex O at the origin.
OA is the longer side.
∴ The co-ordinate of O is O(0,0).
Since one of the vertex is in the third quadrant and the longer side of length 5 units lie on the X-axis, the co-ordinate of A is A(−5,0).
So, the rectangle lie in the III quadrant.
∴ The side OC will lie on the Y-axis to the negative direction.
The length of OC is 3 units.
∴ The co-ordinates of C will be (0,−3).
Obviously, the co-ordinate of B will be (−5,3). ...[OC∥AB & ∠AOC=90O]
So the vertices are O(0,0),A(−5,0),B(−5,3),C(0,−3).
solution.
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