Find the equation of the straight lines passing through the following pair of points: (a, b) and (a + c sin α, b + c cos α)

Question

Philoid · Accepted Answer

Given:

( x₁, y₁) = (a, b), ( x₂, y₂) = (a + c sin, b + c cos)

Concept Used:

The equation of the line passing through the two points ( x₁, y₁) and ( x₂, y₂).

To find:

The equation of the straight line passing through a pair of points.

Explanation:

So, the equation of the line passing through the two points (0, 0) and (2, −2) is

The formula used:

⇒

⇒ y – b = cot (x - a)

Hence, equation of line is y – b = cot (x - a)