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Mathematics
Problem
If tangent drawn to the curve
y
=
∣
x
2
−
6
x
+
8
∣
y = |x^2 - 6x + 8|
y
=
∣
x
2
−
6
x
+
8∣
at its point
P
(
h
,
k
)
P(h, k)
P
(
h
,
k
)
where
h
∈
(
2
,
4
)
h \in (2, 4)
h
∈
(
2
,
4
)
, which also touches the curve
y
=
x
2
−
6
x
+
λ
y = x^2 - 6x + \lambda
y
=
x
2
−
6
x
+
λ
, then number of integral values of
λ
\lambda
λ
is (a) 0 (b) 1 (c) 2 (d) 3
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