If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.

Open in App

Solution

The equations of the given lines are

y = 3x + 1 … (1)

2y = x + 3 … (2)

y = mx + 4 … (3)

Slope of line (1), m₁ = 3

Slope of line (2),

Slope of line (3), m₃= m

It is given that lines (1) and (2) are equally inclined to line (3). This means that

the angle between lines (1) and (3) equals the angle between lines (2) and (3).

Thus, the required value of m is.

Suggest Corrections

Similar questions

Find the equation of lines passing through intersection of lines x+y+4 = 0 and 3x-y-8 = 0 and equally inclined to axis..

y - x = 5, 3 x + 4 y = 1

y = m x + 3

If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other, find the value of p.

\frac{x - 1}{2} = \frac{1 - y}{- a} = \frac{z}{4}

\frac{x - 3}{1} = \frac{2 y - 3}{4} = \frac{z - 2}{2}

a

Join BYJU'S Learning Program