If θ Is The Acute Angle Between The Lines Given By x2 – 2pxy + y2 = 0, Then,

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

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