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Using constraint equations find the relation between a_1 and a_2

Answer» <html><body><p></p>Solution :Point 1,2,3 and 4 are movable. <a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> their dis-placement from a fixed line be ` x_1 , x_2 , x_3 and x_4` <br/> `x_1 + x_3 =l_1` <br/> `(x_1 - x_3 )+ ( x_4- x_3) =l_2` <br/> ` (x_1 - x_4 ) + (x_2 - x_4) = l_3` <br/> On double differentiating with respect to <a href="https://interviewquestions.tuteehub.com/tag/time-19467" style="font-weight:bold;" target="_blank" title="Click to know more about TIME">TIME</a> , <br/> we will get following three constraint <a href="https://interviewquestions.tuteehub.com/tag/relations-15885" style="font-weight:bold;" target="_blank" title="Click to know more about RELATIONS">RELATIONS</a> : ` a_1 + a_3 =<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>` ....... (i) <br/> `a_1 + a_4 - 2a_3 =0`........ (ii) <br/> `a_1 + a_2 - 2a_4 =0`............ (<a href="https://interviewquestions.tuteehub.com/tag/iii-497983" style="font-weight:bold;" target="_blank" title="Click to know more about III">III</a>) <br/> SolvingEqs. (i) ,(ii) and (iii) , we get ` a_2=-7a_1 ` <br/> Which is the desired relation between ` a_1 and a_2` <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_AI_PHY_V01_P1_C06_SLV_031_S01.png" width="80%"/></body></html>


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