Question

 

The angle between the pair of lines represented by 2x2 – 7xy + 3y2 = 0, is   

 

Solution

Correct option is

45o

 

Here, a = 2, b = 3 and h = –7/2  

Let θ be the angle between the lines represented by 2x2 – 7xy + 3y2 = 0. Then,

      .

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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 =

Q4

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

Q5

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

Q6

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

Q7

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

Q8

 

The angle between the The Pair of Straight Lines

        

Q9

The pair of lines represented by 3ax2 + 5xy + (a2 – 2)y2 = 0 are perpendicular to each other for 

Q10

The angle between the lines represented by , is