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Mathematics
Mathematics
Problem
Let
P
(
x
0
,
y
0
)
P(x_0,y_0)
P
(
x
0
,
y
0
)
be a point on the curve
C
:
(
x
2
−
11
)
(
y
+
1
)
+
4
=
0
C:(x^2-11)(y+1)+4=0
C
:
(
x
2
−
11
)
(
y
+
1
)
+
4
=
0
where
x
0
,
y
0
∈
N
x_0,y_0\in\mathbb{N}
x
0
,
y
0
∈
N
. If area of the triangle formed by the normal drawn to the curve 'C' at
P
P
P
and the co-ordinate axes is
(
a
b
)
(\frac{a}{b})
(
b
a
)
,
a
,
b
∈
N
a,b\in\mathbb{N}
a
,
b
∈
N
then find the least value of
(
a
−
6
b
)
(a-6b)
(
a
−
6
b
)
.
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