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Question

Distance between two lines respresented by the line pair, x24xy+4y2+x2y6=0 is

A
15
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B
5
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C
25
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D
none of these
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Solution

The correct option is B 5
As h2=4=1×4=ab and bg2=4×(14)=1×(1)=af2
Therefore the lines in x24xy+4y2+x2y6=0 are parallel
and the distance between the two lines
=2g2aca(a+b)=2141×(6)1(1+4)=255=5

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