CMAT 2019 Solved Question Paper

Question : 22 of 100

Marks: +1, -0

f(x) = x^2-4x+p

and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?

Solution:

Given

f(x) = x^2-4x+p

and f(0) and f(1) are of opposite signs.

⇒f(0) × f(1) < 0

f(0)=0^3-4×0+p=p

f(1)=1^3-4 ×1+p=p+3

p×(p-3) < 0

0 < p < 3

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