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Find the length of normal and sub normal to the curve y=a/2(e^x/a+e^-x/a) at any point |
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Answer» Medium Answer Given, y= 2 a(e a x
+e − a x
)
⇒y=acosh( a x
) dx dy
=asinh( a x
) a 1
=sinh( a x
) Length of normal =y[1+( dx dy
) 2 ] 2 1
=acosh( a x
)[1+sin 2 h( a x
)] 2 1
=acosh( a x
)[cos 2 h( a x
)] 2 1
=ACOS 2 h( a x
) =a× a 2
y 2
= a y 2
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