WB JEE 2011 | Application of Derivatives Question 14 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8m/sec². The time taken by the particle to move the second metre is

$${{\sqrt 2 - 1} \over 2}$$ sec

$${{\sqrt 2 + 1} \over 2}$$ sec

$$(1 + \sqrt 2 )$$ sec

$$(\sqrt 2 - 1)$$ sec

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

Let $p(x)$ be a real polynomial of least degree which has a local maximum at $x=1$ and a local minimum at $x=3$. If $p(1)=6$ and $p(3)=2$, then $p^{\prime}(0)$ is equal to :

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

The function $f(x)=2 x^3-3 x^2-12 x+4, x \in \mathbb{R}$ has

two points of local maximum.

two points of local minimum.

one local maximum and one local minimum.

neither maximum nor minimum.

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

Let $\phi(x)=f(x)+f(2 a-x), x \in[0,2 a]$ and $f^{\prime \prime}(x)>0$ for all $x \in[0, a]$. Then $\phi(x)$ is

increasing on $[0, a]$.

decreasing on $[0, a]$.

increasing on $[0,2 a]$.

decreasing on $[0,2 a]$.

PREVIOUS NEXT

WB JEE Subjects