In Fig. 9.6, the point C is the image of point A in line I and line segment BC intersects the line I at P.
Is P that point on line I from which the sum of the distance of points A and B is minimum

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Solution

Yes.
Since, $P A + P B = P C + P B$
Now, $C P + P B$ will be minimum when $C, P$ and $B$ lie on the line.

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In Fig. 9.6, the point C is the image of point A in line I and line segment BC intersects the line I at P.Is P that point on line I from which the sum of the distance of points A and B is minimum

Yes. Since, PA+PB=PC+PBNow, CP+PB will be minimum when C,P and B lie on the line.

In Fig. 9.6, the point C is the image of point A in line I and line segment BC intersects the line I at P.
Is P that point on line I from which the sum of the distance of points A and B is minimum

Yes.
Since, $P A + P B = P C + P B$
Now, $C P + P B$ will be minimum when $C, P$ and $B$ lie on the line.