Question

26. The angle between the pair of lines
represented by the equation
(1 Point)
2x2 - xy - 2y2
45°
60°
O
90°
120​

Answer 1

Answer:

Step-by-step explanation:

2x

2

+5xy+3y

2

+7y+4=0

Comparing above eqn. with general eqn. of pair of straight line

ax

2

+2hxy+by

2

+2gx+2fy+c=0

We get a=2, h=

2

5

​

, b=3, g=0, f=

2

7

​

and c=4

Angle b/w pair of straight lines is

θ=tan

−1

[

a+b

2

h

2

−ab

​

​

]

tan

−1

m=tan

−1

⎣

⎢

⎢

⎢

⎡

​

2+3

2

4

25

​

−6

​

​

⎦

⎥

⎥

⎥

⎤

​

m =

5

25−24

​

​

m=

5

1