Question

If θ is the acute angle between the pair of lines 5x2-8xy-y2 = 0, then find cosθ​

Answer 1

Answer:

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Step-by-step explanation:

Given : Equation of the pair of straight lines  

3x  

2

+4xy−3y  

2

=0.

We know that the standard equation of the pair of straight lines is  

ax  

2

+2hxy+by  

2

=0.  

Comparing the given equation with the standard equation, we get

a=3,h=2 and  b=−3

We also know that the relation for the angle between the pair of straight line (θ) is

tanθ=  

a+b

2  

h  

2

−ab

​  

 

​  

=  

3+(−3)

2  

(2)  

2

−(3)×(−3)

​  

 

​  

=∞

⇒θ=tan  

−1

=(∞)=90  

0