Question

The angle between two lines is  and the slope of one of them is . Find the slope of the other line.

Solution

Correct option is

 

If θ be the acute angle between the lines with slopes m1 and m2 then 

        

Let, 

          

then, 

          

  

Taking positive sign then, 

         

    

and taking negative sign then,  

         

    

Hence the slope of the other line is either, 

         .  

SIMILAR QUESTIONS

Q1

Find the inclination on the line whose slope is .

Q2

Find the slope of the line through the points (4, –6), (–2, –5).

Q3

Determine λ, so that 2 is the slope of the line through (2, 5) and (λ, 3).

Q4

 

Find whether the points (–a, –b), [–(+ 1)a, –(s + 1)b] and [(t – 1)a, (t – 1)b] are collinear?

Q5

 

For what value of k the points (k, 2 – 2k), (–k + 1, 2k) and (–4 – k, 6 – 2k) are collinear?

Q6

Find the angle between the lines joining the points (0, 0), (2, 3) and (2, –2), (3, 5).

Q7

 

A line passes through the points A(2, –3) and B(6, 3). Find the slopes of the lines which are  

1. parallel to AB

2. perpendicular to AB

Q8

 

Find the equation of the straight line parallel to y-axis and at a distance  

(i).3 units to the right

(ii). 2 units to the left

Q9

 

Find the equation of the straight line parallel to x-axis and at a distance

(i). 5 units above the x-axis

(ii). 9 units below the x-axis

Q10

 

Find the equation of the straight line which passes through the point (2, –3) and is  

1. parallel to the x-axis

2. perpendicular to the x-axis