Question

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

Solution

Correct option is

 

We have, 

      a = 1, b = 1 and h = –p

  

   

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

 

The angle between the The Pair of Straight Lines

        

Q6

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

Q7

 

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

 

Q8

The angle between the lines represented by , is

Q9

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

Q10

If the coordinates axes are the bisectors of the angles between the pair of lines ax2 + 2hxy + by2 = 0, then