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Question

The angle between the pair of lines whose equation is 4x2+10xy+my2+5x+10y=0 is

A
tan1(3/8)
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B
tan1(3/4)
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C
tan12254m(m+4),mR
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D
none of these
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Solution

The correct option is C tan12254m(m+4),mR
General equation of pair of straight line.
ax2+2hxy+by2+2gx+2fy+c=0So,a=4,b=m,h=5,g=52,f=5,c=0

Angle
=tan12(h2ab)12|a+b|
=tan12(524m)12|4+m|
=tan12(254m)12|4+m|

Hence, this is the answer.

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