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Question

Prove that the line 5x2y1=0 is mid-parallel to the lines 5x2y9=0 and 5x2y+7=0.

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Solution

Let lines be l1=5x2y1=0
l2=5x2y9=0
l3=5x2y+7=0
Slope of l1=5/2
Slope of l2=5/2
Slope of l3=5/2
dist. b/w l1&l2=19+1125+4=829
dist b/w l1&l3=117125+4=829
Hence l1 is mid parallel to l2&l3.

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