WB JEE 2010 | Application of Derivatives Question 12 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The co-ordinates of the point on the curve $$y = {x^2} - 3x + 2$$ where the tangent is perpendicular to the straight line y = x are

(0, 2)

(1, 0)

($$-$$1, 6)

(2, $$-$$2)

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.

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