Question

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 1

(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.