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Question

Two opposite sides of a square are given by the lines 5x + 12y + 18 = 0 and 5x + 12y – 21 = 0. Find the length of diagonal of the square.

A
3
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B
6
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C
2
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D
4
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Solution

The correct option is A 3

Given lines are 5x + 12y + 18 = 0……………….(i) and 5x + 12y – 21 = 0………………….(ii)

Length of the side = distance between lines (i) and (ii) is given by

D = = = = 3

Length of the diagonal = 3; Option(a).


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