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If the area of the triangle, included be...

If the area of the triangle, included between the axes and any tangent to the curve `xy^n = a^[n+1] is constant, then the value of n is

Text Solution

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`y^n+xny^(n-1)*dy/dx=0`
`dy/dx=(-y^(n))/(nxy^n)`
`dy/dx=-y_1/(nx_1)`
`y-y_1=-y_1/(nx_1)(x-x_1)`
`nx_1=x-x_1`
`x=x_1(n+1)`
`y=y_1+y_1/n`
`y=y_1(n+1)/n`
...
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