Question

If the angle θ is acute, then the acute angle between 

Solution

Correct option is

θ

 

Here,  

      

Let α be the acute angle between the lines represented by the given equation. Then,  

      

SIMILAR QUESTIONS

Q1

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 =

Q2

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

Q3

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

Q4

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

Q5

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

Q6

 

The angle between the The Pair of Straight Lines

        

Q7

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

Q8

 

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

 

Q9

The angle between the lines represented by , is

Q10

If θ is the acute angle between the lines given by x2 – 2pxy + y2 = 0, then,