The combined equation of the lines `l_1a n dl_2` is `2x^2+6x y+y^2=0` and that of the lines `m_1a n dm_2` is `4x^2+18 x y+y^2=0` . If the angle between `l_1` and `m_2` is `alpha` then the angle between `l_2a n dm_1` will be

The combined equation of the lines L_1 and L_2 is 2x^2+6xy+y^2=0 , and that of the lines L_3 and L_4 is 4x^2+18xy+y^2=0 . If the angle between L_1 and L_4 be alpha , then the angle between L_1 and L_3 will be .

The combined equation of the lines L_(1) and L_(2) is 2x^(2)+6xy+y^(2)=0 and that lines L_(3) and L_(4) is 4x^(2)+18xy+y^(2)=0 . If the angle between L_(1) and L_(4) be alpha , then the angle between L_(2) and L_(3) will be

Statement I . The combined equation of l_1,l_2 is 3x^2+6xy+2y^2=0 and that of m_1,m_2 is 5x^2+18xy+2y^2=0 . If angle between l_1,m_2 is theta , then angle between l_2,m_1 is theta . Statement II . If the pairs of lines l_1l_2=0,m_1 m_2=0 are equally inclinded that angle between l_1 and m_2 = angle between l_2 and m_1 .

Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

If the direction ratios l, m ,n of the lines satisfy l-5m+3n=0, 7l^(2)+5m^(2)-3n^(2)=0 then the angle between the lines is

Write the angle between the lines 2x=3y=z\ a n d\ 6x=-y=-4zdot

The direction cosines of the lines bisecting the angle between the line whose direction cosines are l_1, m_1, n_1 and l_2, m_2, n_2 and the angle between these lines is theta , are

Equation of a line segment in first quadrant is given as 4x+5y=20 , two lines l_1 , and l_2 are trisecting given line segment. If l_1 and l_2 pass through the origin the find then tangent of angle between l_1 , and l_2 .