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  • .In Fig. 9.15, the point C is the image of point A in line l and line segment BC intersects the line l at P.

In Fig. 9.15, 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 it self?

(b)    Is PA = PC?

(c)    Is PA + PB = PC + PB?

(d)    Is P that point on line l from which thesum of the distances of points A and B is minimum?

 

Answers (1)

(a)   Yes, The image of P in line l the point P it self.

(b)    Yes, PA = PC  since A is a mirror image of C

(c)    We know PA = PC

Add PB in the above equation

PA + PB = PC + PB

(d)    PA + PB = PC + PB

PC + PB is minimum when P lie on a line BC.

Hence P is the point on line l from which the sum of the distances of points A and B is minimum.

Posted by

Ravindra Pindel

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