If \[y=\sin px\] and \[{{y}_{n}}\] is the nth derivative of y, then \[\left| \,\begin{matrix} y & {{y}_{1}} & {{y}_{2}} \\ {{y}_{3}} & {{y}_{4}} & {{y}_{5}} \\ {{y}_{6}} & {{y}_{7}} & {{y}_{8}} \\ \end{matrix}\, \right|\] is equal to [AMU 2002]

If \[y=\sin px\] and \[{{y}_{n}}\] is the nth derivative of y, then \[

1.	If \[y=\sin px\] and \[{{y}_{n}}\] is the nth derivative of y, then \[\left\| \,\begin{matrix} y & {{y}_{1}} & {{y}_{2}} \\ {{y}_{3}} & {{y}_{4}} & {{y}_{5}} \\ {{y}_{6}} & {{y}_{7}} & {{y}_{8}} \\ \end{matrix}\, \right\|\] is equal to [AMU 2002]
A.	1
B.	0
C.	? 1
D.	None of these
Answer» C. ? 1

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If \[y=\sin px\] and \[{{y}_{n}}\] is the nth derivative of y, then \[\left| \,\begin{matrix} y & {{y}_{1}} & {{y}_{2}} \\ {{y}_{3}} & {{y}_{4}} & {{y}_{5}} \\ {{y}_{6}} & {{y}_{7}} & {{y}_{8}} \\ \end{matrix}\, \right|\] is equal to [AMU 2002]

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