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Find the values of a for whch sin^*(-1)x=|x-a| will have at least one solution. |
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_GRA_C04_S01_003_S01.png" width="80%"/> <br/> (i) When `alt0` <br/> In this <a href="https://interviewquestions.tuteehub.com/tag/case-910082" style="font-weight:bold;" target="_blank" title="Click to know more about CASE">CASE</a>, y = a-x <a href="https://interviewquestions.tuteehub.com/tag/must-2185568" style="font-weight:bold;" target="_blank" title="Click to know more about MUST">MUST</a> pass through `(1,pi/2)` <br/> `thereforepi/2=a-1rArra=1+pi/2` <br/> (<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) When `alt0` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_GRA_C04_S01_003_S02.png" width="80%"/> <br/> In this case, <br/> `y=x-a" must pass <a href="https://interviewquestions.tuteehub.com/tag/though-2306877" style="font-weight:bold;" target="_blank" title="Click to know more about THOUGH">THOUGH</a> "(1,pi/2)` <br/>`pi/2=1-a` <br/> `a=1-pi/2` <br/> For at least on solution. <br/> `1-pi/2leale1+pi/2`</body></html> | |