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Question

A line through (0,2) and is perpendicular to the line 5xy+7=0. Then the equation of the line parallel to it and at a distance of 3 units from it is/are

A
x+5y+10326=0
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B
x+5y+1013=0
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C
x+5y+10+326=0
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D
x+5y+10+13=0
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Solution

The correct option is C x+5y+10+326=0
The line through (0,2) and perpendicular to the line 5xy+7=0 is

y+2=15(x0)
x+5y+10=0

Now, required line which makes a distance of 3 units and parallel to it is x+5y+k=0

|k10|26=3
k=10±326

The required line is x+5y+10±326=0

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