If be the roots of such that and

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If

\alpha,\beta

be the roots of

4x^2-17x+\lambda=0,\ \lambda\in\mathbb{R}

such that

1<\alpha<2

and

2<\beta<3

, then the number of integral values of

\lambda

is : (a) 1 (b) 2 (c) 3 (d) 4

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