The line joining two points A (2, 0), B (3, 1) is rotated about A in anti - clockwise direction through an angle of 15∘. Then the equation of the line in the new position if B goes to C in the new position, is
None of these
The correct option is C The slope of the line AB is given by m=1−03−2=1
⇒1=tanθ⇒θ=π4 ∴ The line makes on angle of 45∘ with x-axis. Now, AB is rotated through 15∘.So, it makes an angle of 60∘ with x – axis Therefore, the equation of AC is x−2cos60∘=y−0sin60∘ ⇒x−212=y√32 Hence, (b) is the Correct Answer.