Question

find the angle between the lines X=a and by+c=0​

Answer 1

here's your answer! you can also use the angle between two lines formula, i.e.

$tan \alpha = | \frac{ m_{1} - m_{2} }{1 + m_{1} m_{2}} |$

Answer 2

The angle between the given lines is 90°

Step-by-step explanation:

The given lines are

x = a .....(i)

by + c = 0 ......(ii)

Solve the equation (ii) for y

$by = -c\\\\y = -\frac{c}{b}...(ii)$

Equation (i) is a vertical line passing through the point ( a , 0).

And equation (ii) is a horizontal line passing through the point $(-\frac{c}{b},0)$

Now, we know that a vertical line and a horizontal line intersects each other at right angle.

Therefore, the angle between the given lines is 90°

#Learn More:

How to Find Angle between Lines . Derive the Equation..!​

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