In the given figure, the point C is the image of point A in line l and

1.	In the given figure, the point C is the image of point A in line l and line segment BC intersects the line l at P.(a) Is the image of P in line l the point P itself?(b) Is PA = PO(c) Is PA + PB = PC + PB?(d) Is P that point on line l from which the sum of the distances of points A and B is minimum?
Answer» (a) Yes (b) Yes (c) Yes Since, PA = PC ⇒ PA + PB = PC + PB [By adding PB on both sides] (d) Yes, since, PA + PB = CP + PB Now, CP + PB will be minimum when C, P and B lie on a line.

In the given figure, the point C is the image of point A in line l and line segment BC intersects the line l at P.(a) Is the image of P in line l the point P itself?(b) Is PA = PO(c) Is PA + PB = PC + PB?(d) Is P that point on line l from which the sum of the distances of points A and B is minimum?

Answer»

(a) Yes

(b) Yes

Since, PA = PC

⇒ PA + PB = PC + PB [By adding PB on both sides]

(d) Yes, since, PA + PB = CP + PB

Now, CP + PB will be minimum when C, P and B lie on a line.