If tangent drawn to the curve at its point where

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If tangent drawn to the curve y=∣x2−6x+8∣y = |x^2 - 6x + 8| at its point P(h,k)P(h, k) where h∈(2,4)h \in (2, 4), which also touches the curve y=x2−6x+λy = x^2 - 6x + \lambda, then number of integral values of λ\lambda is (a) 0 (b) 1 (c) 2 (d) 3

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