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AI-লিখিত অনুমানভিত্তিক উত্তর—ধারণা ও সীমাবদ্ধতা নিচে উল্লেখ করা হয়েছে। এটি উৎসের যাচাইকৃত মূল উত্তর হিসেবে দাবি করা হচ্ছে না।

স্পষ্ট অনুমান: The coordinates of point P are represented generally as P(x_1, y_1) due to missing data in the original exam question stem. | The line AC is extraneous information unless P was defined as a particular point on AC, which is unspecified.

Given line AB:
y = 2x + 1
=> 2x - y + 1 = 0

The slope of line AB is m_1 = 2.
Let the perpendicular line have slope m_2. Since the lines are perpendicular:
m_1 * m_2 = -1 => m_2 = -1/2

Thus, the general equation of any line perpendicular to AB is:
x + 2y + k = 0

Since the specific coordinates of point P are omitted in the question, let P = (x_1, y_1).
Substituting P(x_1, y_1) into the equation:
x_1 + 2y_1 + k = 0 => k = -(x_1 + 2y_1)

Therefore, the required equation of the perpendicular from P on AB is:
x + 2y - (x_1 + 2y_1) = 0

[Note: If P were specifically the origin (0, 0), the equation would be x + 2y = 0.]