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The angle between two lines 3x + y - 7 = 0 and x + 2y + 9 = 0 will be
1. 60° 
2. 45° 
3. 30°
4. 90°

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Correct Answer - Option 2 : 45° 

Given:

The angle between two lines 3x + y - 7 = 0 and x + 2y + 9 = 0 

Formula used:

Tanθ = (m2 - m1)/(1 + m1m2)

y1 = m1x + c  &  y2 = m2x + c

Calculation:

According to the question,

3x + y - 7 = 0

⇒ y = - 3x + 7

⇒ m1 = -3

x + 2y + 9 = 0

⇒ y = -x/2 - 9/2

⇒ m2 = - 1/2

Tanθ = (m2 - m1)/(1 + m1m2)

⇒ (-1/2 - (-3))/(1 + (-3)(-1/2))

⇒  5/3/5/3

⇒ Tanθ = 1

⇒ θ = 45o

∴ The angle between two lines 3x + y - 7 = 0 and x + 2y + 9 = 0 will be 45o.

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