Question 1194920
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            I will answer question  1,  ONLY.



<pre>
The problem hesitates to say that  p, q and r  are the points on a {{{highlight(number)}}} line;


        so, they are not simply the points on the line. 
        As elements of a number line, they are the NUMBERS.




p = {{{sqrt(3)}}}, r = {{{-sqrt(18)}}}  and pq = qr.


From  pq = qr  we have  pq = rq,  pq - rq = 0,  (p-r)q = 0.


Since p =/= r,  the factor in parentheses, (p-r), is different from zero.


THEREFORE,  (p-r)q = 0  implies  q= 0.


<U>ANSWER</U>.  From the given conditions, we derived  that  q = 0.
</pre>

Solved.



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I do not touch questions &nbsp;2 &nbsp;and &nbsp;3, &nbsp;because everything is &nbsp;OBVIOUS &nbsp;there.



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<H3>A special note to the person who created this problem.</H3>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Math problem should not hesitate to tell a truth.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Otherwise, &nbsp;it is not a &nbsp;Math problem.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Or a bad style to present a &nbsp;Math problem.