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Question

The co-ordinates of the vertices of a rectangle are (0,0),(4,0),(4,3) and (0,3). The length of its diagonal is

A
4
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B
5
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C
7
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D
3
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Solution

The correct option is B 5
Let the points be A(0,0)B(4,0),C(4,3),D(0,3)
So, the length of the diagonal will be distance between A and C.
Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula (x2x1)2+(y2y1)2
Hence, Length of diagonal AC =(40)2+(30)2=16+9=25=5

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