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Q.

Is it true that PA+PB=PC+PB if point C is the image of point A and line segment BC intersects the line l at P?

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a

True

b

False

answer is A.

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Detailed Solution

The given figure is,
Question Image

Question Image

In the given figure, we see that point C is the mirror image of point A which means line 1 acts as a mirror.
Similarly, we see that point C is the mirror image of point B which means line 1 acts as a mirror.
We must know that distance between a point and its mirror image from any point on the line is the same that is equidistance.
So, point A and its image C and point B and its image C are equidistant from point P which is PA+PB=PC+PB.
Hence, the given statement is true and option 1 is correct.

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