Question

If the line joining two points A(2,0) and B (3, 1) is rotated
about A in anticlock wise direction through an angle of 15°. Find the equation of the line in new position.​

Answer 1

Answer:

y - √ 3 x + 2 √ 3 = 0

Step-by-step explanation:

Slope of line = y₂ - y₁ / x₂ - x₁

m = 1 - 0 / 3 - 2

m = 1

tan Ф = m

tan Ф = 1

tan Ф = tan π / 4

Ф = π / 4

After rotation of the line through 15°

Ф = π / 3

tan π / 3 = m' = √ 3

Now equation of line :

y - 0 = √ 3 ( x - 2 )

= > y - √ 3 x + 2 √ 3 = 0

Therefore , we get required answer.