The subtangent at any point on the curve `x^(m)y^(n)=a^(m+n)` varies asA. `("abscissae")^(2)`B. `("ordinate")^(2)`C. abscissaD. ordinate

The subtangent at any point on the curve `x^(m)y^(n)=a^(m+n)` varies a

1.	The subtangent at any point on the curve `x^(m)y^(n)=a^(m+n)` varies asA. `("abscissae")^(2)`B. `("ordinate")^(2)`C. abscissaD. ordinate
Answer» Correct Answer - C We have, `x^(m)y^(n) =a^(m+n)` `rArr m log_(e)x + nlog_(e)y=(m+n) log_(e)a` `rArr (m)/(2) + (n)/(y)(dy)/(dx)=0 " " ` [Differentiating w.r.t. x] `rArr (dy)/(dx) = -(my)/(nx)` `therefore " Length of the subtangent"=\|(y)/((dy)/(dx))\|=\|y xx (nx)/(my)\|=(n)/(m) \|x\| prop x`

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The subtangent at any point on the curve `x^(m)y^(n)=a^(m+n)` varies asA. `("abscissae")^(2)`B. `("ordinate")^(2)`C. abscissaD. ordinate

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