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Question

The angle between the lines x2xy6y27x+31y18=0 is

A
60o
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B
45o
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C
30o
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D
90o
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Solution

The correct option is B 45o
In the equation of pair of straight lines ax2+by2+2hxy+2gx+2fy+c=0, the angle between the lines is θ and tan(θ)=2h2aba+b
Here, a=1,b=6,h=12
tan(θ)=2×14+616
=±2×525
=±1
θ=45o either in the clockwise or anticlockwise sense.

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