JEE Main 2019 — Application Of Derivatives Question with Solution
From: JEE Main 2019 (Online) 9th April Morning Slot
Question
If ƒ(x) is a non-zero polynomial of degree four,
having local extreme points at x = –1, 0, 1; then
the set
S = {x R : ƒ(x) = ƒ(0)}
Contains exactly :
S = {x R : ƒ(x) = ƒ(0)}
Contains exactly :
Choose an option
Show full solutionCorrect option: C
Correct answer
Ctwo irrational and one rational number.
Step-by-step explanation
Local extreme points of f(x) is at x = –1, 0, 1.
f'(x) = 0 has three solutions x = –1, 0, 1.
f'(x) = k(x + 1)x(x - 1)
f(x) =
Also given that
ƒ(x) = ƒ(0)
= C
= 0
x = 0, ,
x has two irrational and one rational value.
f'(x) = 0 has three solutions x = –1, 0, 1.
f'(x) = k(x + 1)x(x - 1)
f(x) =
Also given that
ƒ(x) = ƒ(0)
= C
= 0
x = 0, ,
x has two irrational and one rational value.
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