Q. 194.4( 5 Votes )

# Find the angle between X - axis and the line joining the points (3, – 1) and (4, – 2).

Answer :

Given, (3, – 1) and (4, – 2)

To find: Find the angle between x - axis and the line.

Explanation: We have two points A(3, – 1) and B(4, – 2).

The formula used: The slope of the line, m =

Now, The slope of line AB, m_{AB} =

m_{AB =} – 1

and, we know, The slope of x - axis is always 0

Now, the angle between x - axis and slope of line AB is,

θ = tan ^{– 1} – 1

θ = 135^{o}

Hence, The angle between the x – axis and the line is 135^{0}.

Rate this question :

By using the concept of slope, show that the points (– 2, – 1), (4, 0), (3, 3) and (– 3, 2) vertices of a parallelogram.

RD Sharma - MathematicsFind the angle between X - axis and the line joining the points (3, – 1) and (4, – 2).

RD Sharma - MathematicsWithout using the distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (– 3, 2) are the vertices of a parallelogram.

RD Sharma - MathematicsThe equation of the line through the intersection of the lines 2x – 3y = 0 and 4x – 5y = 2 and

The value of the λ, if the lines (2x + 3y + 4) + λ (6x – y + 12) = 0 are

Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is

Mathematics - ExemplarThe equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is

Mathematics - Exemplar