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A normal at any point (x,y) to the curve...

A normal at any point (x,y) to the curve y = f(x) cuts triangle of unit area with the axes, the equation of the curve is :

Text Solution

Verified by Experts

`m=f'(x)=(dy)/(dx)`
`m_n=-(dx)/(dy)`
`y=y_1=-1/((dy)/(dx))(x=x_1)`
at x=0
`y=y_1+x_1/((dy)/(dx))`
at y=0
`x=x_1+y_1(dy)/(dx)`
`1=1/2|x|*|y|`
...
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