For every twice differentiable function f:\mathbb{R}\to[-2,2] with (f(0)^2)+(f^1(0))^2=85 which of the Following statement(s) is (are) TRUE? [JEE Adv 2018 P1]

There exist r,s∊\mathbb{R},where r < s, such that f is one-one on the open interval (r.s)

There exists x_0∊(-4,0) such that |f^1(x_0)| \leq 1

The exists \alpha∊(-4,4) such that f(\alpha)+f^11(\alpha)=0 and f'(\alpha)\neq0

Limits, Continuity and Differentiability

Section: Mathematics

Question : 24 of 51

Marks: +1, -0

For every twice differentiable function f:ℝ→[−2,2] with (f(0)2)+(f1(0))2=85 which of the Following statement(s) is (are) TRUE?

[JEE Adv 2018 P1]

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