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Unattributed TMUA Mock Set B Paper 1 · Q14

Paper 1Functions & graphsAlgebra

The quadratic function f(x)=x2+2ax+2bf(x)=x^2+2ax+2b has two distinct roots x1x_1 and x2x_2. If −1<x1<1<x2<2-1<x_1<1<x_2<2, then which of the following is the range of the slope of the line bx−(a−1)y+3=0bx-(a-1)y+3=0?

A(−25,23)(-\frac25,\frac23)
B(−25,32)(-\frac25,\frac32)
C(−25,12)(-\frac25,\frac12)
D(−∞,25)∪(23,+∞)(-\infty,\frac25)\cup(\frac23,+\infty)

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