A line through (0,−2) and is perpendicular to the line 5x−y+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+10−3√26=0
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B
x+5y+10−√13=0
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C
x+5y+10+3√26=0
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D
x+5y+10+√13=0
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Solution
The correct option is Cx+5y+10+3√26=0 The line through (0,−2) and perpendicular to the line 5x−y+7=0 is
y+2=−15(x−0) ⇒x+5y+10=0
Now, required line which makes a distance of 3 units and parallel to it is x+5y+k=0