Question

The difference of the tangents of the angles which the lines  make with X-axis, is 

Solution

Correct option is

2

 

We have, 

      

Comparing this equation with ax2 + 2hxy + by2 =0, we have  

      

Let m1 and m2 be the slopes of the lines represented by the given equation. Then,  

     

and, 

     

SIMILAR QUESTIONS

Q1

If the slope of one line in the pair ax2 + 4xy + y2 = 0 is three times the other, then a =  

Q2

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax2 + 2hxy + by2 = 0, is   

Q3

Equation of The Pair of Straight Lines drawn through (1, 1) and perpendicular to the pair of lines 3x2 – 7xy + 2y2 = 0, is

Q4

The equation to the pair of lines perpendicular to the pair of lines 3x2 – 4xyy2 = 0, is

Q5

If the slope of one of the lines given by ax2 + 2hxy + by2 = 0 is 5 times the other, then

Q6

If the pair of lines ax2 + 2hxy + by2 = 0 and ax2 + 2hxy + by2 = 0 have one line in common, then (ab’ – ab)2 =

Q7

If one of the lines given by ax2 + 2hxy + by2 = 0 may be perpendicular to one of the lines given by ax2 + 2hxy + by2 = 0, then (aa’ – bb’)2 =

Q8

If the slope of one of the lines represented by ax2 + 2hxy + by2 = 0 be the square of the other, then   

Q9

The combined equation of the images of the pair of lines given by ax2 + 2hxy + by2 = 0 in the line mirror y = 0, is   

Q10

The product of perpendiculars let fall from the point (x1y1) upon the lines represented by ax2 + 2hxy + by2, is