Final answer:
The student's question involves finding the ratio in which a point divides a segment and finding a value M. To solve this, the Section Formula in coordinate geometry is used, but without specific coordinates or ratio values, a numerical answer cannot be provided.
Step-by-step explanation:
The question asks to find the ratio in which point P divides the segment joining points A and B and to find a value M, which is not clearly defined in the question. Typically, to find the ratio, let's assume that point P divides the line segment AB in the ratio of m:n.
Using the Section Formula in coordinate geometry, which states that if a point P(x, y) divides the line connecting A(x1, y1) and B(x2, y2) in the ratio m:n, then the coordinates of P can be found using:
P(x, y) = ((mx2 + nx1) / (m + n), (my2 + ny1) / (m + n))
To find the exact ratio and the value of M, we would need the coordinates of point P and either the values of m and n or the coordinates of A and B. Without this information, we cannot provide a numerical answer.