## Question

The two straight lines given by

make with the axis of *x* angle such that the difference of their tangents is

### Solution

2

Let *m*_{1} and *m*_{2} be the slopes of the lines given by

. Then,

and,

#### SIMILAR QUESTIONS

If the equation 2*x*^{2} + λ *xy* + 2*y*^{2} = 0 represents a pair of a real and distinct lines, then

If the pair of lines represented by *ax*^{2} + 2*hxy* + *by*^{2} = 0, *b* ≠ 0, are such that the sum of the slopes of the lines is three times the product of their slopes, then

If the sum of the slopes of the lines given by 4*x*^{2} + 2*kxy* – 7*y*^{2} = 0 is equal to the product of the slopes, then *k* =

If the sum of the slopes of the lines given by *x*^{2} + 2*cxy* – *y*^{2} = 0 is four times their product, then *c* has the value

If the slopes of the lines given by *ax*^{2} + 2*hxy* + *by*^{2} = 0 are in the ratio 3 : 1, then *h*^{2} =

If the slope of one line in the pair *ax*^{2} + 4*xy* + *y*^{2} = 0 is three times the other, then *a* =

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by *ax*^{2} + 2*hxy* + *by*^{2} = 0, is

Equation of The Pair of Straight Lines drawn through (1, 1) and perpendicular to the pair of lines 3*x*^{2} – 7*xy* + 2*y*^{2} = 0, is

The equation to the pair of lines perpendicular to the pair of lines 3*x*^{2} – 4*xy*+ *y*^{2} = 0, is

If the slope of one of the lines given by *ax*^{2} + 2*hxy* + *by*^{2} = 0 is 5 times the other, then