Let be a point on the curve where

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

P(x_0,y_0)

be a point on the curve

C:(x^2-11)(y+1)+4=0

where

x_0,y_0\in\mathbb{N}

. If area of the triangle formed by the normal drawn to the curve 'C' at

P

and the co-ordinate axes is

(\frac{a}{b})

,

a,b\in\mathbb{N}

then find the least value of

(a-6b)

.

Related theory

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