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Q.

The lines x + 2y + 3 = 0, x + 2y - 7 = 0, and 2x - y - 4= 0 are the sides of a square. The equation of the remaining side of the square can be

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a

2x-y+6=0

b

2x-y+8=0

c

2x-y-10=0

d

2x-y-14=0

answer is A.

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Detailed Solution

Distance between .x + 2y + 3 = 0 and x + 2y -7 =0 is 10/5. Let the remaining side parallel to 2x - y - 4 =0 be 2x−y+λ=0. We have|λ+4|5=105 or λ=6,−14Thus, the remaining side is2x - y + 6=0 or 2x - y - 14=0.
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The lines x + 2y + 3 = 0, x + 2y - 7 = 0, and 2x - y - 4= 0 are the sides of a square. The equation of the remaining side of the square can be