Statement –A: The point P, Q, R respectively are collinear, if and only if $P Q + Q R = P R$
Statement –B: If there are three points in a plane, we may or may not be able to draw a line passing through them

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Both Statement A and B is false

Statement A is true But Statement B is false

Both Statement A and B is true

Statement A is false But Statement B is true

answer is A.

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Detailed Solution

Statement-I:

From the above P, Q, R are lies on ‘m’

The points P, Q, R respectively are collinear, then $P R = P Q + Q R$

Statement –II: If 3 points are lies in a plane as Question Image

We are able to draw a line Question Image and these points are collinear

Now 3 points are lies in a plane as Question Image

In this case we are not able to draw a line passing through these points are non collinear.

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