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Q.

The vertices of a triangle are O(0.0), B(-3,-1),C(-1,-3). The equation of the line parallel to BC and intersecting the sides OB and OC whose perpendicular distance from O is 1/2 is

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a

x+y=-1/2

b

x+y=1/2

c

x+y=-1/2

d

x+y=1/2

answer is B.

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Detailed Solution

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Line parallel to BC¯ is x+y=k from given data 

|k|2=12⇒k=−12

(∵O,B are opposite sides of the line)

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The vertices of a triangle are O(0.0), B(-3,-1),C(-1,-3). The equation of the line parallel to BC and intersecting the sides OB and OC whose perpendicular distance from O is 1/2 is