Find The Angle Between The Lines                                                                       Where a > b > 0.

  1. Home
  2. JEE Main
  3. Maths
  4. Coordinate Geometry
  5. Coordinate Systems and Coordinates

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

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

 

Find the angle between the lines

                                                                     

where a > b > 0.

Solution

Correct option is

 

The given equation of lines can be written as  

       

and,

       

Comparing the given lines (i) and (ii) with the lines 

         

respectively. We get   

        

and,  

      

Let θ be the acute angle between the lines, then  

     

     

               

               

               

.

 

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

The vertices of a triangle are A(10, 4), B(–4, 9) and C(–2, –1). Find the equation of the altitude through A.
easy View solution
Q2

Find the equations of the medians of a triangle, the coordinates of whose vertices are (–1, 6), (–3, –9) and (5, –8).
diffcult View solution
Q3

Find the ratio in which the line segment joining the points (2, 3) and (4, 5) is divided by the line joining (6, 8) and (–3, –2).
diffcult View solution
Q4

Find the equation of the line through (2, 3) so that the segment of the line intercepted between the axes is bisected at this point.
easy View solution
Q5

 

Find the equation to the straight line which passes through the points (3, 4) and having intercepts on the axes: 

1. equal in magnitude but opposite in sign 

2. such that their sum is 14
diffcult View solution
Q6

Find the equation of the straight line through the point P(a, b) parallel to the lines . Also find the intercepts made by it on the axes.
diffcult View solution
Q7

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120o with the positive direction of y-axis. Find the equation of the line.
easy View solution
Q8

Find the equation of the straight line on which the perpendicular from origin makes an angle of 30o with x-axis and which forms a triangle of area  sq. units with the coordinates axes.
diffcult View solution
Q9

Find the measure of the angle of intersection of the lines whose equations are 3x + 4y + 7 = 0 and 4x – 3y + 5 = 0.
easy View solution
Q10

The slope of a straight line through A(3, 2) is 3/4. Find the coordinates of the points on the line that are 5 units away from A. 
medium View solution