Q. 45.0( 5 Votes )

# Find the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.

Answer :

__Given:__

Points (2, 0), (0, 3) and the line x + y = 1.

**Assuming:**

Let A (2, 0), B (0, 3) be the given points.

__To find:__

Angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.

Explanation:

Slope of AB = m_{1}

Slope of the line x + y = 1 is -1

∴ m_{2} = -1

Let θ be the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1

∴

⇒

Hence, the acute angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1 is .

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