## Question

If θ is the angle between the straight lines given by the equation , then cosec^{2} θ =

### Solution

10

The equation will represent a The Pair of Straight Lines, if

Now,

#### SIMILAR QUESTIONS

The triangle formed by the lines whose combined equation is

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by

The equation *x*^{3} + *ax*^{2}*y* + *bxy*^{2} + *y*^{3} = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is

The combined equation of the lines *L*_{1} and *L*_{2} is 2*x*^{2} + 6*xy* + *y*^{2} = 0 and that of the lines *L*_{3} and *L*_{4} is 4*x*^{2} + 18*xy* + *y*^{2 }= 0. If the angle between *L*_{1}and *L*_{4} be α, then the angle between *L*_{2} and *L*_{3} will be

The lines represented by and the lines represented by are equally inclined then

The equation represents three straight lines passing through the origin such that

If the equation represents two pairs of perpendicular lines, then

The equation represents three straight lines passing through the origin such that

If one of the lines represented by the equation is a bisector of the angle between the lines*xy* = 0, then λ =

The line *y* = *mx* bisects the angle between the lines

, if