A line passing through the point of intersection of x + y = 4 and x $$-$$ y = 2 makes an angle $${\tan ^{ - 1}}\left( {{3 \over 4}} \right)$$ with the X-axis. It intersects the parabola $${y^2} = 4(x - 3)$$ at points $$({x_1},{y_1})$$ and $$({x_2},{y_2})$$, respectively. Then, $$|{x_1},{y_2}|$$ is equal to
- A$${{16} \over 9}$$
- B$${{32} \over 9}$$
- C$${{40} \over 9}$$
- D$${{80} \over 9}$$
✓ Correct answer: B
Want the full step-by-step reasoning?